【2021年】十大初級微積分課程人氣排行推薦

本文章推薦「Master Pre Calculus and Trigonometry」、「Pre Calculus, Calculus and Trigonometry」、「Perfect Your Mathematical Skills (Pre-Calculus Course)」等相關初級微積分線上課程,讓您滿足學習的慾望。

你是否想透過線上學習得到更多的技能,增加自己的技能樹?現在是學生的您,透過線上學習可以將更多專業知識用在課業學習上更加強所學。還是您是朝九晚五的上班族,尋找可以為工作上帶來更上一層樓的技能?或您是因為興趣或想培養其他興趣?

線上課程不受地理位置影響,不受時間早晚影響,老師來自世界各地,也不受學習程度影響的特色,讓您無時無刻想學都可以,想多看幾次增加熟悉度也可以。不同領域的老師將針對不同主題滿足您的學習目的,推薦的課程項目會陸續更新,絕對提供您最熱門人氣高的線上課程。

  • 線上課程老師來自於全球,文章推薦的熱門課程除了繁中課程以外還會有機會看到簡中和英文課程,可以針對自己喜好挑選。
  • 呈現的價錢會因為一些活動而有折扣,但折扣有可能一段時間後結束而調整回原價,最終價錢煩請到課程頁面進行確認。





初級微積分課程總覽

為了節省您的時間,本列表整理每個課程精要,讓您可以快速瀏覽這文章所提供的課程是否是您所需要的,點選您有興趣課程的「課程名稱」或「課程圖示」可以進一步跳到文章所屬課程的介紹區塊瞭解更多資訊。

課程名稱Advanced Functions: A Complete Course on PrecalculusBecome A Master Of Calculus 1Perfect Your Mathematical Skills (Pre-Calculus Course)Master Pre Calculus and TrigonometryPre Calculus, Calculus and TrigonometryCollege Algebra & Trigonometry ExplainedPrecalculus & Trigonometry ExplainedPre-Calculus Video SeriesPre-Calculus from Beginner to AdvancedVector Algebra (Part I): A Pre-Calculus Series
課程圖示
1

Advanced Functions: A Complete Course on Precalculus

2

Become A Master Of Calculus 1

3

Perfect Your Mathematical Skills (Pre-Calculus Course)

4

Master Pre Calculus and Trigonometry

5

Pre Calculus, Calculus and Trigonometry

6

College Algebra & Trigonometry Explained

7

Precalculus & Trigonometry Explained

8

Pre-Calculus Video Series

9

Pre-Calculus from Beginner to Advanced

10

Vector Algebra (Part I): A Pre-Calculus Series

課程原價NT$ 2,690NT$ 2,690NT$ 2,690NT$ 2,790NT$ 2,790NT$ 1,790NT$ 790NT$ 2,690NT$ 2,690NT$ 590
課程售價NT$ 390NT$ 390NT$ 390NT$ 430NT$ 430NT$ 390NT$ 390NT$ 390NT$ 390NT$ 390
課程評價(人數)4.3 分(39 個評分)4.3 分(15 個評分)4.2 分(183 個評分)4.7 分(391 個評分)4.5 分(388 個評分)4.7 分(105 個評分)4.8 分(40 個評分)4.8 分(16 個評分)4.2 分(16 個評分)4.1 分(32 個評分)
課程時長2.5 小時15 小時16 小時9.5 小時9.5 小時74.5 小時48 小時30 小時4 小時4.5 小時
學生人數15,339 人5,571 人5,201 人3,746 人3,427 人698 人306 人141 人101 人43 人
課程特色Prepare yourself for Calculus and become a master at solving equations and inequalitiesLearn everything you need to know about Calculus 1 and be a master in it.Pre-Calculus course that covers Basic Math, Algebra 1 & 2 and Geometry for Junior & High school MathGet prepared for Calculus and fully grasp all things Precalculus and Trigonometry with over 9 hours of lecturesOne Single Course to teach Pre Calculus, Calculus and Trigonometry with over 9 Hours of Lectures, Quizzes and Exercises.Master College Level Algebra with our Step by Step Video Tutorials. Over 3500 Practice Questions! Ace your Algebra Exam!Master Pre-calculus & Trigonometry with our Step by Step Video Tutorials. Over 1500 Practice Questions! Ace your Exam!An in depth review of everything needed to become prepared for a Calculus course.Learn the concepts of Pre-calculus, and pave the way for a smooth experience with Calculus!Master Vector Algebra: Basics, Properties, Dot & Cross products, their applications in various fileds
連結UdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemy



初級微積分課程介紹

推薦的課程以倒序的方式呈現,越往下查看會看到越熱門的,期望您能找到滿意的學習主題!

10

Vector Algebra (Part I): A Pre-Calculus Series

Master Vector Algebra: Basics, Properties, Dot & Cross products, their applications in various fileds
NT$ 590
NT$ 390

點擊看Udemy

課程老師Pranav Trivedi
課程評價4.1 分(32 個評分)
課程時長4.5 小時
學生人數43 人

課程介紹

Vector quantities are widely used and major impact on various engineering and science fields.

This course contains details about the vectors from the very basics to the intermediate level. The course is divided into 6 modules, rich with contents as

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哪些人適合這堂課?

  • Engineering students
  • Mathematics and Physics major students want to learn about vectors
  • Undergraduate Science Students
  • College and University students
  • People interested in enhancing mathematical skills

學習目標

  • Fundamentals of Vectors
  • Properties of Vectors
  • Laws of Vector Addition
  • Vector Addition, Substraction, Laws
  • Dot (Scalar) Product
  • Cross (Vector) Product
  • Finding area of 2D geometries using cross product
  • Application of Vector Algebra in Various fields
  • Fully Solved Examples
  • And Many more

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9

Pre-Calculus from Beginner to Advanced

Learn the concepts of Pre-calculus, and pave the way for a smooth experience with Calculus!
NT$ 2,690
NT$ 390

點擊看Udemy

課程老師Kashif A.
課程評價4.2 分(16 個評分)
課程時長4 小時
學生人數101 人

課程介紹

This course is about building the mathematical foundation to study Calculus. You will be taught concepts from scratch, and we will work our way up to the fundamental concepts of Matrices and Equations Systems. The course is equipped with lots of exam

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哪些人適合這堂課?

  • Students taking Calculus or planning to take Calculus
  • Professionals looking to refresh their pre-calculus concepts.

學習目標

  • Become familiar with Matrix Systems
  • Understand relationship between equation systems and Matrices
  • Learn how to tackle equations using Matrices

關注這課程的人也購買了這些…



8

Pre-Calculus Video Series

An in depth review of everything needed to become prepared for a Calculus course.
NT$ 2,690
NT$ 390

點擊看Udemy

課程老師Jesse Patrick
課程評價4.8 分(16 個評分)
課程時長30 小時
學生人數141 人

課程介紹

This course will provide students with an in-depth overview of Pre-Calculus (advanced algebra and trigonometry).  All major Pre-Calc topics covered in most classes will also be covered in great detail in this course.  Students can use this video seri

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哪些人適合這堂課?

  • Those looking for support while taking a Pre-Calculus course, those who would like a refresher of skills while taking Calculus, or those looking to get ahead in their students.

學習目標

  • All the skills needed to be successful in Calculus, including advanced algebra, trigonometry, and an introduction of limits.

關注這課程的人也購買了這些…

7

Precalculus & Trigonometry Explained

Master Pre-calculus & Trigonometry with our Step by Step Video Tutorials. Over 1500 Practice Questions! Ace your Exam!
NT$ 790
NT$ 390

點擊看Udemy

課程老師John Greene, M.A.
課程評價4.8 分(40 個評分)
課程時長48 小時
學生人數306 人

課程介紹

Become a Master of Pre Calculus & Trigonometry and Ace your next Exam! In this course, you will master the concepts of PreCalculus from beginner to advanced, with our step-by-step video tutorials and test your knowledge with over 1500 Practice Test Q

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哪些人適合這堂課?

  • Students who want to master Precalculus
  • Students who want to master Trigonometry
  • Students who want to excel in Calculus

學習目標

  • Functions and Their Graphs
  • The Rectangular Coordinate Plane
  • Midpoint of a Line Segment
  • The Pythagorean Formula
  • Complex Plane – Distance and Midpoint Formulas
  • Absolute Value of a Complex Number
  • Vertices of a Right Triangle Formula
  • Collinear Points Formula
  • Equations of Circles
  • Function Definition
  • Domain and Range of Relations and Functions
  • Vertical Line Test
  • Function Notation
  • Graphing Linear Functions
  • Finding the Slope of a Line
  • Finding the Equation of a Line
  • Parallel and Perpendicular Lines
  • Graphs of Basic Functions
  • Piecewise-Defined Functions
  • Increasing, Decreasing, and Constant Intervals
  • Graphing Transformations – stretching, shrinking, reflecting
  • Graphing Transformations – horizontal and vertical shifts
  • Even and Odd Functions
  • Finding the Difference Quotient
  • Function Composition
  • Polynomial and Rational Functions
  • Finding the Vertex Form of a Parabola
  • Graphing Parabolas
  • The Remainder Theorem
  • The Factor Theorem
  • The Rational Zeros Theorem
  • The Fundamental Theorem of Algebra
  • Conjugate Zeros Theorem
  • Descartes’ Rule of Signs
  • Intermediate Value and Boundedness Theorems
  • Finding the Zeros of a Polynomial Function
  • Exponential and Logarithmic Functions
  • The Horizontal Line Test
  • Finding One-to-One Functions Algebraically
  • Finding the Inverse of a Function
  • Proving that two functions are inverses
  • Domain Restrictions, Finding the Inverse
  • Exponential Functions and Their Graphs
  • Solving Exponential Equations without Logs
  • Solving Compound Interest Formula Word Problems
  • Solving Continuous Compound Interest Formula Word Problems
  • Logarithmic Functions
  • Properties of Logarithms
  • Inverse of an Exponential / Logarithmic Function
  • Evaluating Logarithms Using the Change of Base Formula
  • Solving Exponential Equations with Logarithms
  • Solving Logarithmic Equations
  • Systems of Equations and Inequalities
  • Solving Linear Systems in Two Variables
  • Solving Linear Systems in Three Variables
  • FInding the Equation of a Parabola Given Three Points
  • Linear Systems Word Problems
  • Partial Fraction Decomposition
  • Solving Nonlinear Systems of Equations
  • Solving Nonlinear Systems of Inequalities
  • Matrices and Determinants
  • Gauss-Jordan Elimination
  • Matrix Addition and Subtraction
  • Scalar Multiplication
  • Matrix Multiplication
  • Inverse of a Matrix
  • Matrix Equations
  • Determinants Using Laplace Expansion
  • Determinants Using Triangular Form
  • Transpose of a Matrix
  • Adjugate of a Matrix
  • Inverse Using the Adjugate and Determinant
  • Cramer’s Rule
  • Area of a Triangle – Determinants
  • Collinear Points – Determinants
  • Writing the Equation of a Line – Determinants
  • Analytic Geometry
  • Conic Sections
  • The Parabola
  • The Ellipse
  • The Hyperbola
  • Sequences
  • Series
  • Summation Notation
  • Arithmetic Sequence
  • Arithmetic Series
  • Geometric Sequence
  • Geometric Series
  • Combinations
  • Permutations
  • Counting Theory
  • Angles
  • Acute Angles, Obtuse Angles, Right Angles, Straight Angles
  • Finding the Complement of an angle
  • Finding the Supplement of an angle
  • Degrees, Minutes, and Seconds
  • Converting Between Decimal Degrees and Degrees, Minutes, and Seconds
  • Determine if two Angles are Coterminal Angles
  • Solving for Missing Angles in Similar Triangles
  • Solving for Missing Sides in Similar Triangles
  • Solving for Missing Angles with a Transversal Crossing Two Parallel Lines
  • Finding the Trigonometric Function Values of an Angle
  • Finding Trigonometric Function Values Given One Value and the Quadrant
  • Finding Trigonometric Function Values Based on Reciprocal Identities
  • Finding Trigonometric Function Values Based on Pythagorean Identities
  • Finding Trigonometric Function Values Based on Quotient Identities
  • Finding the Six Trigonometric Function Values of an Acute Angle
  • Writing a Trigonometric Function in Terms of its Cofunction
  • Solving Trigonometric Equations using Cofunction Identities
  • Finding Reference Angles
  • Special Angles as Reference Angles
  • Finding Angle Measures with Special Angles
  • Finding Trigonometric Function Values of Non-Acute Angles
  • Finding Trigonometric Function Values Using a Calculator
  • Finding Unknown Angle Measures Using Inverse Trigonometric Functions
  • arcsin, arccos, arctan, arcsec, arccsc, arccot
  • How to Solve Right Triangles When Two Sides are Known
  • How to Solve Right Triangles Given an Angle and a Side
  • How to Solve Word Problems that Involve Angles of Elevation
  • How to Solve Word Problems that Involve Angles of Depression
  • Radians
  • Converting Between Radians and Degrees
  • Finding Arc Length on a Circle
  • Finding the Area of a Sector of a Circle
  • Understanding Trigonometry Using the Unit Circle
  • Circular Functions
  • Solving Trigonometry word problems with Linear and Angular Speed
  • Graphing Sine and Cosine
  • Function Transformations with the Graphs of Sine and Cosine
  • Finding the Amplitude, Period, Phase Shift, and Vertical Shift for Trigonometric Functions
  • Using the Fundamental Trigonometric Identities to Find Missing Trigonometric Ratios
  • Using the Fundamental Trigonometric Identities to rewrite Trigonometric Expressions
  • How to Verify Trigonometric Identities
  • Sum and Difference Identities for Sine, Cosine, and Tangent
  • Finding sin(A + B), sin(A – B)
  • Finding cos(A + B), cos(A – B)
  • Finding tan(A + B), tan(A – B)
  • Double-Angle Identities
  • Product-to-Sum Identities
  • Sum-to-Product Identities
  • Half-Angle Identities
  • Solving Trigonometric Equations Using Linear Methods
  • Solving Trigonometric Equations by Factoring
  • Solving Trigonometric Equations by Squaring/Square Roots
  • Solving Trigonometric Equations Using Identities
  • Solving Trigonometric Equations Using the Quadratic Formula
  • Solving Trigonometric Equations with Half-Angles
  • Solving Trigonometric Equations with Multiple Angles
  • Inverse Trigonometric Functions
  • Sketching the Graphs of the Inverse Trigonometric Functions
  • Evaluating Inverse Trigonometric Functions
  • Finding the Composition of Inverse Trigonometric Functions
  • Solving Trigonometric Equations with Inverse Trigonometric Functions
  • Law of Sines (ASA) and (SAA)
  • Finding the Area using sine (SAS)
  • Law of Sines Ambiguous case
  • Law of Cosines
  • Finding the Area using Heron’s Formula (SSS)
  • Finding the Component Form of a Vector
  • Finding the Magnitude of a Vector
  • Finding the Direction Angle of a Vector
  • Finding the Sum of Two Vectors
  • Multiplying a Vector by a Scalar
  • Finding the Unit Vector u in the direction of the Vector v
  • Writing a Linear Combination of Unit Vectors i and j
  • Find the Dot Product of Two Vectors
  • Find the Angle Between Two Vectors
  • Determine if Two Vectors are Orthogonal
  • Complex Numbers in Trigonometry
  • Finding the Sum of Two Complex Numbers Graphically
  • Finding the Trigonometric (Polar) Form of a Complex Number
  • Converting between Rectangular Form and Polar Form
  • Multiplying Complex Numbers in Polar Form
  • Dividing Complex Numbers in Polar Form
  • Product and Quotient Theorems
  • De Moivre’s Theorem
  • Powers of Complex Numbers in Polar Form
  • Roots of Complex Numbers in Polar Form
  • Solving Equations Using Roots of Complex Numbers
  • Plotting Polar Coordinates
  • Converting Between Polar Coordinates and Rectangular Coordinates
  • Writing Polar Coordinates in Multiple Forms
  • Finding the Distance Between Polar Points
  • Converting Lines Between Rectangular and Polar Forms
  • Graphing Lines on the Polar Coordinate Plane
  • Converting Circles Between Rectangular and Polar Forms
  • Graphing Circles on the Polar Grid
  • Finding the Inclination of a Line
  • Finding the Angle Between Two Lines
  • Finding the Distance Between a Point and a Line

關注這課程的人也購買了這些…



6

College Algebra & Trigonometry Explained

Master College Level Algebra with our Step by Step Video Tutorials. Over 3500 Practice Questions! Ace your Algebra Exam!
NT$ 1,790
NT$ 390

點擊看Udemy

課程老師John Greene, M.A.
課程評價4.7 分(105 個評分)
課程時長74.5 小時
學生人數698 人

課程介紹

Become a Master of College Algebra & Trigonometry and Ace your next Algebra Exam! In this course, you will master all concepts of Algebra and Trigonometry, from beginner to advanced, with our step-by-step video tutorials and test your knowledge with

瞭解更多細節

哪些人適合這堂課?

  • Students who need a complete understanding of Advanced Algebra
  • Students currently enrolled in a College Level Algebra Course
  • Students currently enrolled in a Pre-Calculus Course
  • Students who need to master Algebra in order to fully prepare for Calculus

學習目標

  • Review of Basic Concepts: Real Numbers, Order of Operations, Number Line, Absolute Value
  • Review of Polynomials: Adding, Subtracting, Multiplying, Dividing, Synthetic Division, Factoring
  • Review of Rational Expressions: Lowest Terms, Undefined, Addition, Subtraction, Multiplication, Division, Complex Fractions
  • Review of Radical Expressions: Radical Notation, Simplifying a Radical, Operations with Radicals, Rationalizing Denominators
  • Solving Linear Equations and Inequalities
  • Solving Application of Linear Equations Problems (Word Problems)
  • Solving Absolute Value Equations and Inequalities
  • Working with Complex Numbers
  • Solving Quadratic Equations and Inequalities
  • Solving Applications of Quadratic Equations (Word Problems)
  • Solving Rational Equations and Inequalities
  • Solving Radical Equations and Inequalities
  • The Rectangular Coordinate Plane
  • The Complex Coordinate Plane
  • Distance and Midpoint Formulas
  • Relations and Functions
  • Domain and Range
  • Function Notation, Function Composition, Operations on Functions
  • Graphing Linear Equations
  • Linear Equations, Finding the Slope of a Line and Equations of Lines
  • Graphing Circles
  • Graphing Elementary Functions
  • Graphing Transformations
  • Solving Systems of Linear Equations in Two Variables
  • Solving Systems of Linear Equations in Three Variables
  • Solving Word Problems with Linear Systems
  • Using Curve Fitting to Find an Equation Through Three Points
  • Partial Fraction Decomposition
  • Solving Linear Systems using Gaussian Elimination and Gauss-Jordan Elimination
  • Matrix Algebra
  • Adding and Subtracting Matrices
  • Solving Matrix Equations
  • Multiplying a Matrix by a Scalar
  • Multiplying Matrices
  • Finding the Inverse of a Matrix
  • Solving Linear Systems using Matrix Inverses
  • Determine if functions are one-to-one using the horizontal line test
  • Determine if functions are one-to-one algebraically
  • Find the Inverse of a One-to-One Function
  • Find the Inverse of a Domain Restricted One-to-One Function
  • Graphing the Inverse of a Function
  • Graphing an Exponential Function
  • Solving Exponential Equations with Like Bases
  • Solving Compound Interest Word Problems
  • Graphing Logarithmic Functions
  • Properties of Logarithms | Condensing Logarithms | Expanding Logarithms
  • Change of Base Rule for Logarithms
  • Solving Exponential and Logarthimic Equations
  • Finding the Vertex Form of a Parabola
  • How to Graph a Parabola
  • Remainder Theorem
  • Using the Remainder Theorem to Test Zeros for a Polynomial Function
  • The Factor Theorem
  • Using the Factor Theorem to Factor a Polynomial Function Given One Zero
  • The Rational Zeros Theorem
  • The Fundamental Theorem of Algebra
  • The Number of Zeros Theorem
  • Writing Polynomial Equations Given Zeros and a Point
  • Conjugate Zeros Theorem
  • Descartes’ Rule of Signs
  • Intermediate Value Theorem
  • Boundedness Theorem
  • Finding the upper and lower bounds for the real zeros of a polynomial function
  • Solving NonLinear Systems of Equations
  • Conic Sections: Parabolas – Focus and Directrix
  • Conic Sections: Ellipses – Finding the Foci and Graphing
  • Sequences
  • Arithmetic Sequences
  • Geometric Sequences
  • Arithmetic Series
  • Geometric Series
  • Finding the Common Difference in an Arithmetic Sequence
  • Evaluating an Arithmetic Series
  • The Binomial Theorem
  • Working with sets, roster method, subsets, Venn diagrams
  • Combinations
  • Permutations
  • Counting Theory
  • Probability
  • Angles in Trigonometry
  • Complementary Angles
  • Supplementary Angles
  • Determine if two angles are coterminal angles
  • Finding Angle measures for similar triangles
  • Finding side lengths for similar triangles
  • Finding the Trigonometric Function Values of an Angle
  • Finding Trigonometric Function Values Given One Value and the Quadrant
  • Finding Trigonometric Function Values Based on Reciprocal Identities
  • Finding Trigonometric Function Values Based on Pythagorean Identities
  • Finding Trigonometric Function Values Based on Quotient Identities
  • Finding Trigonometric Function Values of Acute Angles
  • Writing a Trigonometric Function in terms of its Cofunction
  • Solving Trigonometric Equations Using Cofunction Identities
  • Finding Reference Angles
  • Special Angles as Reference Angles
  • Finding Angle Measures with Special Angles
  • Finding Trigonometric Function Values of Non-Acute Angles
  • Finding Trigonometric Function Values Using a Calculator
  • Finding Unknown Angle Measures Using Inverse Trigonometric Functions: arcsin, arccos, arctan
  • Solving Right Triangles
  • Solving Word Problems that involve angles of elevation
  • Solving Word Problems that involve angles of depression
  • Radian Measure
  • Converting Between Degrees and Radians
  • How to Find the Arc Length on a Circle
  • How to Find the Area of a Sector of a Circle
  • Defining the Six Trigonometric Functions Using the Unit Circle
  • Working with Circular Functions
  • Solving Trigonometry Word Problems that Involve Linear Speed
  • Solving Trigonometry Word Problems that Involve Angular Speed
  • Graphing Sine and Cosine
  • Function Transformations with Sine and Cosine
  • Finding the Period, Amplitude, and Phase Shift
  • Using the Fundamental Trigonometric Identities to Find Missing Trigonometric Ratios
  • Using the Fundamental Trigonometric Identities to rewrite Trigonometric Expressions
  • How to Verify Trigonometric Identities
  • Sum and Difference Identities for Sine, Cosine, and Tangent
  • Finding sin(A + B)
  • Finding cos(A + B)
  • Finding tan(A + B)
  • Double-Angle Identities
  • Product-to-Sum Identities
  • Sum-to-Product Identities
  • Half-Angle Identities
  • Evaluating Inverse Trigonometric Functions
  • Graphing the Inverse Trigonometric Functions
  • Finding the Composition of the Inverse Trigonometric Functions
  • Solving Trigonometric Equations Using Linear Methods
  • Solving Trigonometric Equations by Factoring
  • Solving Trigonometric Equations by Squaring/Square Roots
  • Solving Trigonometric Equations Using Identities
  • Solving Trigonometric Equations Using the Quadratic Formula
  • Solving Trigonometric Equations with Half-Angles
  • Solving Trigonometric Equations with Multiple Angles
  • Solving Trigonometric Equations Involving Inverse Trigonometric Functions
  • Law of Sines
  • Law of Sines (Ambiguous Case)
  • Area of a Triangle using Sine (SAS) and (ASA)
  • Law of Cosines
  • Area of a Triangle using Heron’s Formula
  • Finding the Component Form of a Vector
  • Finding the Magnitude of a Vector
  • Finding the Direction Angle of a Vector
  • Finding the sum (resultant) of two vectors
  • Multiplying a vector by a scalar
  • Finding the Unit Vector
  • Writing a Linear Combination of Unit Vectors
  • Find the Dot Product of Two Vectors
  • Find the Angle Between Two Vectors
  • Determine if Two Vectors are Orthogonal
  • Adding Two Complex Numbers Graphically
  • Finding the Trigonometric (Polar) Form of a Complex Number
  • Converting a Complex Number between Rectangular and Polar Forms
  • Multiplying Complex Numbers in Polar Form
  • Dividing Complex Numbers in Polar Form
  • Product and Quotient Theorems
  • De Moivre’s Theorem
  • Powers of Complex Numbers in Polar Form
  • Solving Equations Using Roots of Complex Numbers
  • Plotting Points on the Polar Coordinate Grid
  • Converting Points Between Rectangular and Polar Forms
  • Writing Polar Coordinates in Alternative Forms
  • Finding the Distance Between Two Polar Points
  • Converting a Line Between Polar and Rectangular Forms
  • Graphing a Line on the Polar Grid
  • Finding the Inclination of a Line
  • Finding the Angle Between Two Lines
  • Finding the Shortest Distance Between a Line and a Point

關注這課程的人也購買了這些…

5

Pre Calculus, Calculus and Trigonometry

One Single Course to teach Pre Calculus, Calculus and Trigonometry with over 9 Hours of Lectures, Quizzes and Exercises.
NT$ 2,790
NT$ 430

點擊看Udemy

課程老師Engineering Education Hub by Prateek Porwal
課程評價4.5 分(388 個評分)
課程時長9.5 小時
學生人數3,427 人

課程介紹

Welcome to this course. In this course you will learn Pre Calculus, Calculus and Trigonometry.

Pre Calculus, Calculus and Trigonometry are all important topics of math. “Calculus” is the mathematics of change and because everything in the world is c

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哪些人適合這堂課?

  • Math Majors.
  • Engineering Majors.
  • Working Professionals.
  • Anybody interested in learning Functions (Pre Calculus), Trigonometry and Calculus 1.

學習目標

  • Pre Calculus, Calculus and Trigonometry!
  • More than 1,200 students from 130 countries!
  • Over 9 Hours of Content!
  • Lifetime Access!
  • Certificate of Completion for you Job Interviews!
  • By the end of this course you will be able to define functions, recognize them and cite examples thereof (pre calculus);
  • define the domain and range of a function, find the domain and range of a function (pre calculus);
  • define the average rate of change of a function, find the average rate of change of a function and solve problems based on them (pre calculus);
  • define even and odd functions and cite examples thereof (pre calculus);
  • determine if a given function is even, or odd, or none (pre calculus);
  • define function compositions (pre calculus);
  • find the composition of two functions and solve problems based on them (pre calculus);
  • define the inverse function (pre calculus);
  • find the inverse of a function and solve problems based on them (pre calculus);
  • define the absolute and relative maxima and minima of a function (pre calculus);
  • find the absolute and relative maxima and minima from graphs (pre calculus);
  • define the increasing and decreasing intervals of a function (pre calculus);
  • find the increasing and decreasing intervals from graphs (pre calculus); and
  • define triangles, define the types of triangles, and cite examples thereof (trigonometry);
  • define the properties of triangles and solve problems based on them (trigonometry);
  • define pythagoras theorem, and use it to solve right triangles (trigonometry);
  • define trigonometric functions sin, cos, tan and find them for any given right triangle (trigonometry);
  • define trigonometric functions cosec, sec, cot and find them for any given right triangle (trigonometry);
  • define the trigonometric functions of standard angles of trigonometry (namely 0 degree, 30 degree, 45 degree, 60 degree and 90 degree) (trigonometry);
  • define complementary angles, find the complementary angle of any given angle (trigonometry);
  • define trigonometric identities namely,Complementary Angle Identities, Pythagorean Identities, Sum and Difference of Angles Formulas, Negative Angle Identities, Sum to Product Formulas, Product to Sum Formulas, ​and apply these Trigonometric Identities in solving problems (trigonometry);
  • find the Trigonometric Function values of Non-Standard Angles (like that of 75 degree, 22.5 degree, etc.)​ using Trigonometric Identities (trigonometry);
  • define laws of sines and cosines and use them to find the unknown sides and angles of a given triangle (trigonometry);
  • define similar triangles (trigonometry);
  • define the conditions for similarity of two triangles (trigonometry);
  • define the properties of similar triangles and solve problems to find unknown sides and angles of similar triangles (trigonometry);
  • prove the similarity of two triangles (trigonometry);
  • define limit of a function (Calculus);
  • find the limit of a function using graphs and solve problems based on them (Calculus);
  • define one-sided limits (Calculus);
  • find one-sided limits from graphs and solve problems based on them (Calculus);
  • define continuity of a function (Calculus);
  • find the continuity of a given function from graphs and solve problems based on them (Calculus);
  • define the derivative of a function (Calculus);
  • define and use the standard derivative formula for finding the derivatives (Calculus);
  • define the different derivative rules such as derivative of a constant, multiplication by a constant, power rule, sum rule, difference rule, product rule, quotient rule, reciprocal rule and the famous chain rule (Calculus);
  • find the derivatives of functions using the different derivative rules (Calculus);
  • find derivatives of trigonometric functions (trigonometric derivatives) and solve problems based them (Calculus);
  • find derivatives of exponential functions (exponential derivatives) and solve problems based on them (Calculus);
  • find derivatives of logarithmic functions (logarithmic derivatives) and solve problems based on them (Calculus);
  • define the positive and negative intervals of a function;
  • find the positive and negative intervals from graphs;
  • find the domain and range of radical and rational functions.

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4

Master Pre Calculus and Trigonometry

Get prepared for Calculus and fully grasp all things Precalculus and Trigonometry with over 9 hours of lectures
NT$ 2,790
NT$ 430

點擊看Udemy

課程老師Grant Hall
課程評價4.7 分(391 個評分)
課程時長9.5 小時
學生人數3,746 人

課程介紹

All new quiz solution videos plus even more content to help students master all aspects of Precalculus and Trigonometry!

WELCOME TO MASTER PRECALCULUS!

This Pre-Calculus and Trigonometry Course includes over 65 lectures that will introduce students

瞭解更多細節

哪些人適合這堂課?

  • Any student currently taking Pre-Calculus or Trigonometry
  • Any student wanting to prepare for Calculus
  • Any homeschooling parent who wants extra resources for their child
  • Anyone wanting to review math they have not done in a while

學習目標

  • Graph many types of functions including trigonometric functions
  • Draw conics and write their equations, including parabolas, hyperbolas, and ellipses
  • Understand angles and their measure, both in radians and degrees
  • Solve trigonometric equations that include factoring and multiple angles
  • Solve triangles using the laws of sines and cosines
  • Discover the shapes of high degree polynomials
  • Find the domain and range of any function

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3

Perfect Your Mathematical Skills (Pre-Calculus Course)

Pre-Calculus course that covers Basic Math, Algebra 1 & 2 and Geometry for Junior & High school Math
NT$ 2,690
NT$ 390

點擊看Udemy

課程老師Ruchi Chhabra
課程評價4.2 分(183 個評分)
課程時長16 小時
學生人數5,201 人

課程介紹

This course is carefully designed to explain various topics of Basic Math, Algebra 1 & 2, Pre-Calculus.

It has 104 lectures spanning 15+ hours of on-demand videos that are divided into 17 sections. Each topic is explained extensively – by solving mu

瞭解更多細節

哪些人適合這堂課?

  • Anyone interested in revising or learning the basics of Mathematics
  • Students in Junior High & High School/ Secondary School
  • Students preparing for the GCSE, IGCSE, SAT, ACT, GRE or other competitive exams

學習目標

  • Functions in detail (Vertical line test, Composite functions & their range, Domain & Range, Inverse of function – algebraically & graphically etc.)
  • Expanding binomial with any power using Binomial Theorem, Factorial, C(n,r), Finding the indicated term etc.
  • Coordinate Geometry (Distance formula, Mid-point formula, Gradient, Graphing using gradient)
  • Arithmetic Progression (General term, Finding missing term, Term from end, Sum to n terms etc.)
  • Geometric Progressions (General term, Sum to n terms, Sum to infinite terms etc.)
  • Math Basics like Integers, Indices, Prime number, L.C.M, H.C.F, Rational numbers, Fractions & Decimals
  • Basics of Plane geometry

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2

Become A Master Of Calculus 1

Learn everything you need to know about Calculus 1 and be a master in it.
NT$ 2,690
NT$ 390

點擊看Udemy

課程老師Elvis Innocent Agbede
課程評價4.3 分(15 個評分)
課程時長15 小時
學生人數5,571 人

課程介紹

This course contain all the lectures you need to “become a master of Calculus 1”.The course contain different sections and you are going to watch the video of me explaining it section by section. There will be a quiz at the end of every section

Here

瞭解更多細節

哪些人適合這堂課?

  • Anyone searching for help in calculus and don’t know what to do
  • Anyone who has completed Algebra,some trigonometry and pre-calculus and want to move further
  • Freshman student who want to learn and understand Calculus
  • Student who want to be a Master in Calculus
  • Student who already have some knowledge in Calculus and want to expand their knowledge in Calculus
  • Homeschool parents looking for extra support with calculus for their child
  • Anyone who want to study Calculus for fun
  • Anyone who has been away from school for a while and want to freshen up their knowledge in Calculus
  • Anyone who has love for Calculus and want to study Calculus
  • Anyone who need a private Calculus Tutor but can’t find any
  • Anyone who would love to study Calculus from home
  • Anyone who would like to study Calculus on their free time
  • Anyone who always find it difficult to understand Calculus. This course is for you
  • Anyone afraid of Calculus exams. This course is for you

學習目標

  • Precalculus-Functions and how to modify functions,solving trigonometry equations,studying common graphs
  • Limit and continuity-how to solve every kind of limit problem,finding discontinuities in functions
  • Derivatives-we will introduce Derivatives. We cover the standard derivatives formulas.
  • Application of Derivatives-In this chapter we will cover many of the major applications of derivatives.
  • Integrals- In this chapter we will give an introduction to definite and indefinite integrals.
  • Application of Integrals-In this chapter we will take a look at some applications of integrals.

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1

Advanced Functions: A Complete Course on Precalculus

Prepare yourself for Calculus and become a master at solving equations and inequalities
NT$ 2,690
NT$ 390

點擊看Udemy

課程老師Kazi Ahmed
課程評價4.3 分(39 個評分)
課程時長2.5 小時
學生人數15,339 人

課程介紹

This course extends students’ experience with functions. Students will investigate the properties of polynomial and rational functions; broaden their understanding of rates of change; and develop facility in applying these concepts and skills. Studen

瞭解更多細節

哪些人適合這堂課?

  • Anyone who is interested in math
  • Anyone who wants to learn advanced functions
  • Anyone who wants to prepare for calculus
  • Any homeschooling parent who wants their child to brush up for higher level calculus course

學習目標

  • Identify and describe key characteristics of polynomial functions
  • Divide one polynomial by another polynomial
  • Factor polynomial expressions
  • Solve problems that involve polynomial equations graphically and algebraically
  • Solving linear and polynomial inequalities
  • Rational Functions, Equations and Inequalities
  • Rate of Change

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初級微積分課程總覽

看完了一連串課程的介紹後,你是否還想要再一次進行課程總比較呢?

課程名稱Advanced Functions: A Complete Course on PrecalculusBecome A Master Of Calculus 1Perfect Your Mathematical Skills (Pre-Calculus Course)Master Pre Calculus and TrigonometryPre Calculus, Calculus and TrigonometryCollege Algebra & Trigonometry ExplainedPrecalculus & Trigonometry ExplainedPre-Calculus Video SeriesPre-Calculus from Beginner to AdvancedVector Algebra (Part I): A Pre-Calculus Series
課程圖示
1

Advanced Functions: A Complete Course on Precalculus

2

Become A Master Of Calculus 1

3

Perfect Your Mathematical Skills (Pre-Calculus Course)

4

Master Pre Calculus and Trigonometry

5

Pre Calculus, Calculus and Trigonometry

6

College Algebra & Trigonometry Explained

7

Precalculus & Trigonometry Explained

8

Pre-Calculus Video Series

9

Pre-Calculus from Beginner to Advanced

10

Vector Algebra (Part I): A Pre-Calculus Series

課程原價NT$ 2,690NT$ 2,690NT$ 2,690NT$ 2,790NT$ 2,790NT$ 1,790NT$ 790NT$ 2,690NT$ 2,690NT$ 590
課程售價NT$ 390NT$ 390NT$ 390NT$ 430NT$ 430NT$ 390NT$ 390NT$ 390NT$ 390NT$ 390
課程評價(人數)4.3 分(39 個評分)4.3 分(15 個評分)4.2 分(183 個評分)4.7 分(391 個評分)4.5 分(388 個評分)4.7 分(105 個評分)4.8 分(40 個評分)4.8 分(16 個評分)4.2 分(16 個評分)4.1 分(32 個評分)
課程時長2.5 小時15 小時16 小時9.5 小時9.5 小時74.5 小時48 小時30 小時4 小時4.5 小時
學生人數15,339 人5,571 人5,201 人3,746 人3,427 人698 人306 人141 人101 人43 人
課程特色Prepare yourself for Calculus and become a master at solving equations and inequalitiesLearn everything you need to know about Calculus 1 and be a master in it.Pre-Calculus course that covers Basic Math, Algebra 1 & 2 and Geometry for Junior & High school MathGet prepared for Calculus and fully grasp all things Precalculus and Trigonometry with over 9 hours of lecturesOne Single Course to teach Pre Calculus, Calculus and Trigonometry with over 9 Hours of Lectures, Quizzes and Exercises.Master College Level Algebra with our Step by Step Video Tutorials. Over 3500 Practice Questions! Ace your Algebra Exam!Master Pre-calculus & Trigonometry with our Step by Step Video Tutorials. Over 1500 Practice Questions! Ace your Exam!An in depth review of everything needed to become prepared for a Calculus course.Learn the concepts of Pre-calculus, and pave the way for a smooth experience with Calculus!Master Vector Algebra: Basics, Properties, Dot & Cross products, their applications in various fileds
連結UdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemyUdemy



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