Math 102 – Intro to Analysis II, Spring 2012


Instructor: Anatolii Grinshpan
Office hours:  TWR 4-6, Korman 247, or by appointment, Korman 253

Syllabus    Homework    MyMathLab    Course calendar     Academic calendar    Math resource center  

Apr 3. Introduction to the course.  The idea of  a limit.

Apr 4. Examples of calculating limits.

Apr 5. Limit rules. Difference quotients.

Apr 6. Examples.

 

Apr 10. Continuity at a point.

Apr 11. Types of discontinuity. Examples.

Apr 12. Rates of change.

Apr 13. Quiz 1 (11.1 and 11.2).

 

Apr 17. Rules of differentiation.

Apr 18. Product and quotient rules.

Apr 19. Examples.

Apr 20. Quiz 2 (12.1, 12.2)

 

Apr 24. The chain rule.

Apr 25. The derivative of an exponential function. Relative rate of change.

Apr 26. The derivative of a logarithmic function.

Apr 27. Quiz 3 (12.3, 12.4, 12.5)

 

May 1.  Applied examples.

May 2.  Examples and practice.

May 3.  Examples and practice.

May 4.  Midterm 1.

 

May 8.   Intervals of increase and decrease. Critical points.

May 9.   Points of local extremum: polynomials.

May 10. Points of local extremum: rational and other functions.

May 11. Quiz 4 (13.1, 13.2)

 

May 15. The shape of a graph. Points of inflection.

May 16. Absolute maximum and minimum on a closed interval.

May 17. Absolute maximum and minimum: examples.

May 18. Quiz 5 (13.3, 14.1)

 

May 22. Problem 17, page 886.

May 23. Antiderivatives.

May 24. Antiderivatives.

May 25. Quiz 6 (14.2, 15.1)

 

May 29. Examples and practice.

May 30. Practice.

May 31. Practice.

June 1.   Midterm 2.

 

June 5.   Substitution.

June 6.   Definite integral. The Fundamental Theorem of Calculus.

June 7.   Quiz 7 (15.2)

June 8.   Examples and practice.

 

June 15. Final Exam: 8-10 AM, Main Auditorium.