**Course Description:**
This course will expand on the applications and techniques of differentiation
learned in the first quarter and give a depth study of integration including the
fundamental methods of integrating elementary algebraic and transcendental
functions. It will include the applications of the calculus to transcendental
functions, analytical geometry and other relevant topics.

**Textbook: **Herman,
E. J. & Strang, G. (2018). *BBCC
Calculus I*, published by OpenStax, remixed by Lulu.

**Unit 1:
Antiderivatives and Integration**

· 5.0 Review Derivatives and Formulas

· 5.3 The Fundamental Theorem of Calculus

· 5.4 Integration Formulas and the Net Change Theorem

· 5.6 Integrals Involving Exponential and Logarithmic Functions

· 5.7 Integrals Resulting in Inverse Trigonometric Functions

**Unit 2: Applications
of Integration**

· 6.2 Determining Volumes by Slicing

· 6.3 Volumes of Revolution: Cylindrical Shells

· 6.4 Arc Length of a Curve and Surface Area

· 6.6 Moments and Centers of Mass

· 6.7 Integrals, Exponential Functions, and Logarithms

· 6.8 Exponential Growth and Decay

· 6.9 Calculus of the Hyperbolic Functions (video will be made soon!)

**Unit 3: Advanced
Integration Techniques**

· 3.3 Trigonometric Substitutions

· 3.5 Other Strategies for Integration