Calculus

Instructor: Vera Serganova
Email address: serganov@math
  • webpage:/~serganov
  • Phone Number: 642-2150
  • Office hours: Wednesday 3-4, Thursday 1-2 in 709 Evans
  • Text: J. Stewart, Single Variable Calculus, seventh edition, early transcendentals for UC Berkeley
  • Intenet access for Chapter 7: http://custom.cengage.com/customtext/websites/stewart_9780538497909/
  • Homework: Most of homework will be assigned via webwork, https://webwork.math.berkeley.edu/webwork2/Math-1B-Lect-1-Fa13/. Occasionally some problems from the book will be posted on this site. You should read a section before the lecture that covers it.
  • Exams: There will be two midterms on Friday, September 27 and on Friday, November 1 during usual class hours.
  • Final Exam is on Friday, December 20, 11:30-2:30, in Wheeler auditorium.
  • Grading policy: Your grade will be computed according to the following proportions: 5% for webwork, 15% for quizzes, 20% for each midterm and 40% for the final.
  • Enrollment: I am not able to help you with this. Please do not send me email asking to add you to the class. All questions concerning enrollment should be addressed to Thomas Brown thomasbrown@berkeley.edu
  • Practice midterms
  • Practice midterms solutions
  • Sample test for the second Midterm
  • Solutions of sample tests
  • Sample Final
  • Solutions for Sample Final
  • Recommended review exercises from the book: p.575 3,5,20; p.779 3,5,15,17,38,41,47,53; p.630 1,5,9,15,18,22; p.1169 5,7,9,15,17,18,20; p.1156 23,27,28.
  • Important: The final will cover all the matherial we learned with emphasis on differential equations. You can bring an index card (4x6 inches) as a cheat sheet, filled both sides. Calculators are not allowed.
  • During the dead week please see professor Vojta, M: 12:30-1:30, W,F 12-1, in 883 Evans.

    • Course Plan

  • Week 1
  • Friday 8/30. Review of Math1A with emphasis on integration. Sections 5.3 and 5.5. Review exercises for Chapter 5: 8,13,16,43,46.
  • Week 2
  • Monday 9/2. Labor Day, no class.
  • Wednesday 9/4. Integration by parts. Section 7.1. Problems: 48,51,53,70.
  • Friday 9/6. Trigonometric integrals. Section 7.2.
  • Week 3
  • Monday 9/9. Trigonometric substitution. Section 7.3. Problem 41.
  • Wednesday 9/11. Integration of rational functions. Section 7.4.
  • Friday 9/13. Strategy for integration. Section 7.5.
  • Week 4
  • Monday 9/16. Approximate integration. Section 7.7.
  • Wednesday 9/18. Improper integrals. Section 7.8.
  • Friday 9/20. Arc length and area of a surface of revolution. Sections 8.1, 8.2.
  • Week 5
  • Monday 9/23. Application of integration to probability. Section 8.5.
  • Wednesday 9/25. Review of integration.
  • Friday 9/27. Midterm.
  • Week 6
  • Monday 9/30. Sequences and limit. Section 11.1. Problems 79, 81, 89, 90.
  • Wednesday 10/2. Series and convergence. Section 11.2. Problems 80, 86, 90.
  • Friday 10/4. Integral test. Section 11.3. Problems 33, 46.
  • Week 7
  • Monday 10/7. Comparison tests. Section 11.4.
  • Wednesday 10/9. Alternating series. Section 11.5.
  • Friday 10/11. Absolute convergence. Ratio and root tests. Section 11.6.
  • Week 8
  • Monday 10/14. Strategy for testing series. Section 11.7.
  • Wednesday 10/16. Power series. Section 11.8.
  • Friday 10/18. Representation of functions by power series. Section 11.9.
  • Week 9
  • Monday 10/21. Taylor and Maclaurin series. Section 11.10.
  • Wednesday 10/23. More on Taylor and Maclaurin series. Section 11.10.
  • Friday 10/25. Approximation of functions by polynomials. Section 11.11.
  • Week 10
  • Monday 10/28. Differential equations and models. Section 9.1.
  • Wednesday 10/30. Review of sequences and series for Midterm 2.
  • Friday 11/1. Midterm.
  • Week 11
  • Monday 11/4. Direction fields and Euler's method. Section 9.2.
  • Wednesday 11/6. Separable equations. Section 9.3.
  • Friday 11/8. Models of growth. Section 9.4.
  • Week 12
  • Monday 11/11. No class.
  • Wednesday 11/13. First-order differential linear equations. Section 9.5.
  • Friday 11/15. Predator--Prey systems. Section 9.6.
  • Week 13
  • Monday 11/18. Complex numbers. Appendix H.
  • Wednesday 11/20. Homogeneous second-order equations. Section 17.1.
  • Friday 11/22. Non-homogeneous second-order equations. The method of undetermined coefficients. Section 17.2.
  • Week 14
  • Monday 11/25. Variation of parameters. Section 17.2.
  • Wednesday 11/27. Application of second-order differential equations. Section 17.3.
  • Friday 11/29. No class.
  • Week 15
  • Monday 12/2. Solving differential equations using power series. Section 17.4.
  • Wednesday 12/4. Review of differential equations.
  • Friday 12/6. Review of the course.
  • Friday 12/20. Final Exam.