Prerequisite techniques for the class: Math 32B, 33B including partial fractions, basic algebra with complex numbers, know how to take integration, integration by parts, derivatives / anti-derivatives of real-valued functions (one variable, two variables), Taylor series calculations, Green's theorem, Stoke's theorem, solving differential equations,
Midterm 1:
-samples: one, two, three, four
- Practice problems
section 1.1: 5-18, 20-25
section 1.2: 5, 7, 9, 10, 11, 13, 14, 16
section 1.3: 5, 6, 7, 10, 11, 12, 13
section 1.4: 1-11, 20
section 1.5: 5, 7, 8, 9, 11
section 1.6: 19, 21, 23
section 1.7: 1, 5
2.1.3, 2.1.4, 2.1.11;
2.2.7, 2.2.11, 2.2.17, 2.2.19, 2.2.21, 2.2.25;
2.3.7, 2.3.9, 2.3.11, 2.3.13, 2.3.15;|
2.4.1 - 2.4.5, 2.4.7, 2.4.8-2.4.11
2.5.1, 2.5.3, 2.5.5, 2.5.6, 2.5.18, 2.5.22
3.1.1, 3.1.3, 3.1.5, 3.1.11, 3.1.13
Midterm 2:
-samples: http://www.math.ucla.edu/~tvhuy/132.2.14f/Mid2_prep.htm
Practice problems:
-section 3.2: 1, 2, 3, 4, 5, 6, 7, 9-18.
-section 3.3: 1, 2, 3, 4, 5, 6, 9, 10, 11, 12, 13
-section 3.5: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15
-section 4.1: 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
-section 4.2: 1, 3, 5, 6, 7, 8, 9 , 10, 11, 12, 13, 14, 18
-section 4.3: 1, 2, 4, 5,
-section 4.4: 9, 10, 11, 12, 13, 14, 15, 16, 17
-section 4.5: 1, 2, 3, 4, 5, 6, 7, 8, 14,
-section 5.1: 1, 2, 3, 7, 11,
-section 5.2: 1, 2, 3, 5, 6, 7, 8, 11, 13
-section 5.3: 2, 3, 4, 5, 6, 7,
Final:
-the above problems, and
-section 5.5: 1, 2, 3, 4, , 6, 7, 9, 11
-section 5.6: 1, 2, 3, 5, 6, 7, 12, 13
-section 6.1: 1, 2, 3, 4, 6, 7
-section 6.2: 1-11
-section 6.3: 1-7,
-section 6.7: 1-4, 6-10
Note: You are allowed to use one-sided A4 sheet of paper in the final. No calculator is allowed.