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# MATH 152 – Calculus II

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

·         5.1 Approximating Areas

·         5.2 The Definite Integral

·         5.3 The Fundamental Theorem of Calculus

·         4.10 Antiderivatives

·         5.4 Integration Formulas and the Net Change Theorem

·         5.5 Substitution

·         5.6 Integrals Involving Exponential and Logarithmic Functions

·         5.7 Integrals Resulting in Inverse Trigonometric Functions

Unit 2: Applications of Integration

·         6.1 Areas Between Curves

·         6.2 Determining Volumes by Slicing

·         6.3 Volumes of Revolution: Cylindrical Shells

·         6.4 Arc Length of a Curve and Surface Area

·         6.5 Physical Applications

·         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!)

·         3.1 Integration by Parts

·         3.2 Trigonometric Integrals

·         3.3 Trigonometric Substitutions

·         3.4 Partial Fractions

·         3.5 Other Strategies for Integration

·         3.7 Improper Integrals

·         3.8 Double Integrals