Mathematics 1152 Calculus II Autumn, Spring, Summer 5 credits Catalog Description: Integral calculus, sequences and series, parametric curves, polar coordinates, vectors. Prerequisite: C- or better in 1151, 1156, 152.xx, 161.xx or 161.01H; or 114 or 1114. Exclusions: Not open to students with credit for any higher numbered math class or with credit for quartersystem Math courses numbered 153.xx or above. Text: Calculus for Scientists and Engineers: Early Transcendentals, 2nd OSU custom edition, by Briggs, Cochran, Gillett, published by Pearson, ISBN: 9781256776468 Topic List: 7.1 6.2 6.3 6.4 6.5 6.6 6.7 7.2 Basic Approaches to Integration Regions Between Curves Volume by Slicing Volume by Shells Length of Curves Surface Area Physical Applications Integration by Parts Midterm 1 7.3 7.4 7.5 7.8 9.1 9.2 9.3 9.4 9.5 9.6 Trigonometric Integrals Trigonometric Substitution Partial Fractions Improper Integrals Overview of Sequences and Series Sequences Series Divergence and Integral Tests Ratio, Root, and Comparison Tests Alternating Series Page 1 Midterm 2 10.1 10.2 10.3 10.4 8.1 8.2 8.3 11.1 11.2 Approximating Functions with Polyn Properties of Power Series Taylor Series Working with Taylor Series Basic Ideas of Differential Equations Direction Fields and Euler’s Method Separable Differential Equations Parametric Equations Polar Equations Midterm 3 11.3 12.1 12.2 12.3 12.4 12.5 Calculus in Polar Coordinates Vectors in the Plane Vectors in Three Dimensions Dot Products Cross Products Lines and Curves in Space Final 2017-2018 Math 1152