MATH 152: Calculus II

Spring 2025

Lectures: Mondays, Wednesdays and Fridays 8:30am in B9200

Course Outline

The Material is Taken from Stewart

4.9 Antiderivatives

5.1 Areas and Distances

5.2 The Definite Integral

5.3 The Fundamental Theorem of Calculus

5.4 Indefinite Integrals and the Net Change Theorem

5.5 The Subsitution Rule

6.1 Areas Between Curves

6.2 Volumes

6.5 Average Value of a Function

7.1 Integration by Parts

7.2 Trigonometric Integrals

7.3 Trigonometric Substitution

7.4 Integration of Rational Functions

7.5 Strategy for Integration

7.7 Approximate Integration

7.8 Improper Integrals

Special Functions (new): erf(x) and Si(x)

8.1 Arc Length

8.3 Centres of Mass

10.2 Calculus with Parametric Curves

11.1 Sequences

11.2 Series

11.3 The Integral Test

11.4 The Comparison Tests

11.5 Alternating Series

11.6 Absolute Convergence and the Ratio Test

11.7 Strategry for Testing Series

11.8 Power Series

11.9 Representation of Functons as Power Series

11.10 Taylor and Maclaurin Series

11.10 Taylor Polynomials

11.11 Applicatins of Taylor Polynomials

9.1 Modelling with Differential Equations

9.3 Solving Separable Differential Equations

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