Lectures:  Tu, Th 10:00-11:40,  room NAC 6/113  

Lecturer: Vladimir Shpilrain  Office: NAC 4118b   Phone: (212) 650-5158
e-mail: vshpilrain@ccny.cuny.edu web page:  https://shpilrain.ccny.cuny.edu/

Office hours:  Tu, Th 12:00-1:00 or by appointment

Homework: Homework problems will be distributed in class once a week.
Homework will NOT be graded, but similar problems will be included in tests.

Textbook:  J. Hass, C. Heil, M. Weir, Thomas’ Calculus, 14th edition, Pearson, 2018.

Material to be covered: Chapter 7, Sections 7.2--7.4;   Chapter 5, Sections 5.5, 5.6;   Chapter 8, Sections 8.1--8.8;   Chapter 10, Sections 10.1--10.10;   Chapter 11, Sections 11.3, 11.5;   Chapter 12, Sections 12.1, 12.6.

Approximate grading weights:

2 midterm exams: 30 % each
Final exam: 40 %

 
There will be no early or make-up  tests.

HW 1: Section 7.2 (Natural Logarithms), Ex. 29, 35, 41, 46, 48, 55;   Section 7.3 (Exponential Functions), Ex. 10, 21, 23, 25, 38, 41, 46, 101, 111.

HW 2: Section 8.1 (Basic Integration Formulas), Ex. 2, 3, 5, 6, 10, 15, 39;   Section 8.2 (Integration by Parts), Ex. 8, 12, 14, 21, 23, 29, 33, 47.

HW 3: Section 8.3 (Trigonometric Integrals), Ex. 7, 11, 14, 17, 19, 35, 37, 41, 50;   Section 8.4 (Trigonometric Substitutions), Ex. 3, 5, 7, 9, 11, 17, 23, 31, 35, 43.

HW 4: Section 8.5 (Integration of Rational Functions), Ex. 11, 15, 35, 41, 51;   Section 8.8 (Improper Integrals), Ex. 5, 17, 19, 21, 27, 29, 37, 41, 51, 57, 59.

HW 5: Section 8.7 (Numerical Integration), Ex. 1 (Ia,b, IIa), 2 (Ia,b, IIa), 5 (Ia,b).

HW 6: Section 10.1 (Sequences), Ex. 15, 17, 23, 35, 37, 45, 51, 53, 63, 67;   Section 10.2 (Infinite Series), Ex. 1, 3, 5, 7, 9, 12, 33, 35, 41, 53, 57, 64.

HW 7: Section 10.3 (The Integral Test), Ex. 3, 6, 11, 15, 17, 22, 28, 29, 35;   Section 10.4 (Comparison Tests), Ex. 1, 5, 9, 15, 17, 19, 21, 25, 47.

HW 8: Section 10.5 (Absolute Convergence; The Ratio and Root Tests), Ex. 3, 5, 9, 14, 15, 27, 29, 39, 45, 69;   Section 10.6 (Alternating Series and Conditional Convergence), Ex. 5, 7, 9, 11, 15, 17, 23, 25, 29, 31, 51, 53.

HW 9: Section 10.7 (Power Series), Ex. 5, 9, 11, 15, 17, 25, 27, 41, 53;   Section 10.8 (Taylor and Maclaurin Series), Ex. 2, 3, 5, 11, 14, 17, 19, 25, 35.

HW 10: Section 10.9 (Convergence of Taylor Series), Ex. 7, 10, 14, 21;   Section 10.10 (Applications of Taylor Series), Ex. 23; Section 7.4 (Exponential Change and Separable Differential Equations), Ex. 5, 9, 15, 25, 27, 29, 37.

HW 11: Section 11.3 (Polar Coordinates), Ex. 3, 6(a-e) 7, 9, 11, 14, 15, 17, 19, 27, 47, 53, 55, 57;   Section 11.5 (Areas and Lengths in Polar Coordinates), Ex. 1, 3, 6, 9, 15.

HW 12: Section 12.1 (Three-Dimensional Coordinate Systems), Ex. 2, 3, 7, 11, 12, 17, 21, 27, 31(a), 35(a); Section 12.6 (Cylinders and Quadric Surfaces), Ex. 1, 3, 5, 6, 9, 11, 15, 17, 23, 25, 29, 35, 37, 41.