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The Calculus of Inverse Functions
In this module, you will learn about inverse functions. The module content is split into four lessons.
1.1 Inverse Functions
1.2 The Natural Logarithmic Function
1.3 Exponential Functions
1.4 Inverse Trigonometric Functions
Symbolic Techniques of Integration
In this module, you will learn about symbolic techniques of integration. This module consists of four lessons.
2.1 Integration by Parts
2.2 Trigonometric Integrals
2.3 Trigonometric Substitutions
2.4 Partial Fractions Decomposition
Additional Integration Technique and Limits
In this module, you will learn about symbolic techniques of integration. This module consists of four lessons.
3.1 Tables of Integrals
3.2 Numerical Integration
3.3 Indeterminate Forms and LʻHospitalʻs Rule
3.4 Improper Integrals
Introduction to Differential Equations
In this module, you will learn additional integration techniques and limits. The module content is split into four lessons.
4.1 Differential Equations
4.2 Exponential Growth and Decay
4.3 Other Elementary Differential
Equations
4.4 Introduction to Direction Fields (also called Slope Fields)
Introduction to Infinite Sequences and Series
In this module, you will be introduced to infinite sequences and series. The module content is split into two lessons.
5.1 Introduction to Infinite Sequences
5.2 Introduction to Infinite Series
Convergence and Divergence of Infinite Series
In this module, you will learn about convergence and divergence of infinite series. The module content is split into four lessons.
6.1 Convergence Tests, Part I
6.2 Convergence Tests, Part II
6.3 Convergence Tests, Part III
6.4 Alternating Series
Power Series
In this module, you will learn about power series. The module content is split into three lessons.
7.1 Polynomial Approximation of Functions
7.2 Properties of Power Series
7.3 Taylor Series
Final Exam
See your course syllabus for details regarding your cumulative final exam
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1 The Calculus of Inverse Functions
1.1 Inverse Functions
1.2 The Natural Logarithmic Function
1.3 Exponential Functions
1.4 Inverse Trigonometric Functions
2 Symbolic Techniques of Integration
2.1 Integration by Parts
2.2 Trigonometric Integrals
2.3 Trigonometric Substitutions
2.4 Partial Fractions Decomposition
3 Additional Integration Techniques and Limits
3.1 Tables of Integrals
3.2 Numerical Integration
3.3 Indeterminate Forms and LʻHospitalʻs Rule
3.4 Improper Integrals
4 Introduction to Differential Equations
4.1 Differential Equations
4.2 Exponential Growth and Decay
4.3 Other Elementary Differential Equations
4.4 Introduction to Direction Fields (also called Slope Fields)
5 Introduction to Infinite Sequences and Series
5.1 Introduction to Infinite Sequences
5.2 Introduction to Infinite Series
6 Convergence and Divergence of Infinite Series
6.1 Convergence Tests, Part I
6.2 Convergence Tests, Part II
6.3 Convergence Tests, Part III
6.4 Alternating Series
7 Power Series
7.1 Polynomial Approximation of Functions
7.2 Properties of Power Series
7.3 Taylor Series
8 Final Exam
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