Fall 2018 MATH 1516
Calculus 2 化學地科微積分(二)
物理光電共同課綱
Syllabus 課程大綱
演習課分組資訊
共同助教 Office Hours
宣導事項
教學進度
2/18/2019(星期一): Volume of revolution (shell method), arclengths.
2/20/2019(星期三): Surface area for surface of revolutions.
2/25/2019(星期一): Introduction to sequences, basic properties.
2/27/2019(星期三): Introduction to series.
3/4/2019(星期一): kth term test, integral and comparison tests.
3/6/2019(星期三): some typical limit, root and ratio tests.
3/11/2019(星期一): Alternating series test, power series.
3/13/2019(星期三): Representing functions as power series.
3/18/2019(星期一): Taylor and Maclaurin series.
3/20/2019(星期三): Binomial series, introduction to parametric equations.
3/25/2019(星期一): More on parametric equations, cycloids, calculus of parametric equations.
3/27/2019(星期三): Polar coordinates and its calculus.
4/8/2019(星期一): Finish polar coordinates, review of vectors in R^3.
4/10/2019(星期三): Quadric surfaces and vector functions.
4/15/2019(星期一): Tangent vectors and arclength.
4/17/2019(星期三): Functions of several variables.
4/22/2109(星期一): Midterm 1.
4/24/2019(星期三): Introduction to partial derivatives.
4/29/2019(星期一): Mixed partials and tangent planes.
5/1/2019(星期三): Chain rules, directional derivatives and gradients.
5/6/2019(星期一): Gradients vs. tangent planes.
5/8/2019(星期三): Introduction to max/min.
5/13/2019(星期一): Max/min.
5/15/2019(星期三): Lagrange Multipliers.
5/20/2019(星期一): Introduction to double integrals, double integrals over general regions.
5/22/2019(星期三): Double integrals with polar coordinates.
建議習題
Homework 1 (2/27 演習課小考):
Section 7.3: 4, 9, 14, 16, 20, 35, 35, 40.
Section 7.4: 9, 12, 18, 34.
Section 7.5: 9, 12, 16, 20.
Section 8.1: 10, 14, 19, 20, 23, 26, 29, 30.
Homework 2 (3/13 演習課小考):
Section 8.1: 41, 52.
Section 8.2: 10, 12, 20, 22, 26, 48, 59.
Section 8.3: 8, 10, 12, 18, 23, 26, 29, 32, 33, 40, 42, 43.
Section 8.4: 6, 10, 16, 22, 26, 29, 30, 34, 38, 40.
Section 8.5: 8, 13, 14, 18, 19, 22, 23, 32.
Homework 3 (3/27 演習課小考):
Section 8.6: 6, 9, 12, 15, 26, 28, 35, 36, 40, 41.
Section 8.7: 6, 8, 10, 13, 16, 32, 35, 44, 50, 52, 53, 57, 60, 63, 67, 70.
Section 8.8: 19, 20.
Homework 4 (4/17 演習課小考):
Section 9.1: 2, 10, 12, 16, 22.
Section 9.2: 4, 10, 15, 16.
Section 9.3: 2, 4, 10, 12, 14, 16, 19, 20, 26, 30, 40.
Section 9.4: 4, 8, 12, 26, 30.0
Section 10.6: 12, 16, 20, 24, 24.
Homework 5 (4/22 期中考範圍內):
Section 10.7: 9, 12, 18, 20, 28, 30, 34, 40, 42, 50, 79, 83.
Section 10.8: 2, 4.
Section 11.1: 7, 11, 12, 18, 20, 22, 26, 32.
Section 11.2: 4, 7, 9, 12, 14, 16, 22, 27.
Homework 6 (5/8 演習課小考):
Section 11.3: 3, 4, 8, 9, 14, 18, 20, 23, 30, 36, 48, 54, 64, 66, 73, 79, 80, 83bcde.
Section 11.4: 4, 6, 12, 16, 20, 22, 30, 33, 34.
Homework 7 (5/22 演習課小考):
Section 11.5: 17, 21, 29, 32, 38, 41, 47.
Section 11.6: 8, 9, 16, 20, 24, 29, 33, 35, 40, 43, 44, 49.
Section 11.7: 8, 13, 1425, 28, 43, 46.
Homework 8 (6/5 演習課小考):
Section 11.8: 4, 11, 18, 22, 36, 40, 48.
Section 12.1: 14, 16, 20, 23, 26, 30, 34, 41.
Section 12.2: 8, 15, 17, 22, 26, 43, 44, 47, 49, 50, 56, 58.
Section 12.3: 6, 8, 10, 11, 14, 16, 18, 22, 24, 26, 29.
Section 12.8: 6, 7, 9, 12, 15, 19, 23, 25.
Homework 9 (6/12 演習課小考-加分性質):
Section 12.5: 4, 8, 12, 16, 31.
Section 12.6: 18, 22, 29.
Section 12.7: 8, 12, 18, 23, 27a, 28, 38.
Section 13.1: 8, 14, 18.
Section 13.2: 4, 6, 10, 14, 20.
Section 13.3: 12, 13, 16, 18, 20, 31.
Homework 10 (Suggested Problems on 13.4):
Section 13.4: 2, 6, 7, 12, 14, 18, 27.
考試相關
Exam 2 Info.
講義