Spring 2021 MATH 1062
Calculus 2 電機甲微積分(二)
電機資訊共同課綱
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
2/24/2021(星期三): Introduction to parametric equations, calculus of parametric equations.
2/26/2021(星期五): Area and length in parametric forms, introduction to polar coordinates.
3/3/2021(星期三): Curves of polar coodinates.
3/5/2021(星期五): Calculus in polar coordinates.
3/10/2021(星期三): Vector values functions, space curves.
3/12/2021(星期五): Calculus of vector valued functions, differentiations.
3/17/2021(星期三): Tangent vectors, reparametrization, curvatures.
3/19/2021(星期五): Functions of several variables.
3/24/2021(星期三): Limits and continuity, introduction to partial derivatives.
3/26/2021(星期五): Tangent planes, differentiability, tangent planes, differentials.
3/31/2021(星期三): Chain rules.
4/2/2021(星期五): No Class.
4/7/2021(星期三): Directional derivatives, gradients and tangent planes.
4/9/2021(星期五): Optimiztions, identifications of critical points.
4/14/2021(星期三): More optimizations, Lagrange multipliers.
4/16/2021(星期五): Introduction to double integrals.
4/21/2021(星期三): Midterm Exam 1.
4/23/2021(星期五): Double integrals on more general domains.
4/28/2021(星期三): Mean value theorem, introduction to triple integrals.
4/30/2021(星期五): Triple integrals and change of variables.
5/5/2021(星期三): Polar coordinates, parallel level curves, cylindrical coordinates.
5/7/2021(星期五): Spherical coordinates.
5/12/2021(星期三): Introduction to vector calculus, vector fields, conservative vector fields.
5/14/2021(星期五): Introduction to line integrals.
5/19/2021(星期三): Fundamental Theorem of lie integrals.
5/21/2021(星期五): Green's Theorem.
5/26/2021(星期三): Curl and Divergence.
5/28/2021(星期五): Variations of Green's Theorem.
6/2/2021(星期三): 2-surfaces in R^3, orientations, surface integrals.
6/4/2021(星期五): Flux and introduction to Stoke's theorem.
6/9/2021(星期三): Stokes's and divergence theorems, introduction to sequences and series.
6/11/2021(星期五): Quick introduction to convergence tests.
6/16/2021(星期三): Power series, functions as power series, introduction to Taylor series.
6/18/2021(星期五): Taylor and Maclurin series.
建議習題
Homework 1 (3/5/2021 演習課小考):
Section 10.1: 8, 10, 15, 21, 22, 30, 34.
Section 10.2: 4, 6, 8, 9, 22, 24, 36, 38, 40, 44, 45, 18, 50.
Section 10.3: 4, 6, 8, 10, 16, 18, 20, 22, 24, 25, 26,36, 40, 44, 48, 56, 58.
Homework 2 (3/19/2021 演習課小考):
Section 10.4: 2, 3, 4, 6, 8, 18, 19, 26, 28, 30, 40, 44, 46, 54.
Section 12.5: 48, 52, 58, 60, 62, 66, 70.
Section 12.6: 18, 20, 22, 24, 26, 28, 30.
Section 13.1: 4, 10, 14, 23, 26, 27, 32, 34, 38, 40.
Section 13.2: 6, 8, 14, 16, 18, 20, 26, 30, 46, 50, 53, 55.
Homework 3 (4/9/2021 演習課小考):
Section 13.3: 6, 16, 18, 20, 24, 34, 36, 42, 54, 71, 72.
Section 14.1: 46, 48, 50, 52.
Section 14.2: 8, 10, 11, 12, 14, 16, 18, 26, 28, 30, 32, 38, 48, 50, 52.
Section 14.3: 18, 24, 26, 30, 34, 36, 38, 40, 42, 44, 46, 50, 52, 58, 64, 72, 74, 76, 81, 85, 97, 100.
Section 14.4: 6, 10, 16, 20, 34, 38, 45, 50, 53.
Section 14.5: 6, 8, 14, 16, 28, 44, 48, 51, 55, 56, 57, 58.
Section 14.6: 10, 12, 16, 18, 22, 24, 28, 30, 36, 38, 40, 50, 52, 56, 60, 64, 66, 68, 74.
Homework 4 (4/23/2021 or 4/30/2021 演習課小考):
Section 14.7: 8, 10, 12, 18, 20, 34, 35, 37, 38, 44, 46, 50, 51, 54, 60.
Section 14.8: 6, 8, 12, 16, 26, 28, 40, 55, 56, 62, 63.
Chapter 4 Problem Plus: 3, 4, 7, 8.
Section 15.1: 16, 18, 20, 22, 23, 28, 30, 34, 44, 48, 54, 56.
Section 15.2 (4/28追加):4, 6, 10, 14, 20, 22, 26, 34, 38, 56, 58, 64, 66, 72.
Homework 5 (5/14/2021 演習課小考):
Section 15.3: 8, 11, 12, 13, 14, 16, 19, 20, 24, 26, 27, 30, 35, 49.
Section 15.5: 5, 7, 10, 13, 23.
Section 15.6: 4, 8, 10, 11, 14, 17, 20, 24, 26, 31, 32, 34, 36, 40, 57, 58.
Section 15.7: 16, 18, 20, 22, 23, 27, 32.
Section 15.9: 1, 3, 5, 12, 14, 16, 18, 20, 25, 27, 28, 29.
Homework 6 (5/28/2021 線上演習課小考):
Section 16.1: 13-18, 31-34, 39.
Section 16.2: 2, 3, 5, 8, 11, 14, 18, 19, 22, 36, 42, 48, 50.
Section 16.3: 6, 8, 10, 11, 13, 14, 18, 20, 26.
Section 16.4: 2, 6, 8, 9, 11, 14, 25, 26, 32.
Section 16.5: 2, 5, 7, 9-12, 16, 18, 21, 22, 23, 24, 29, 30, 31, 35, 36, 40, 41.
Homework 7 (6/11/2021 線上演習課小考):
Section 16.6: 4, 6, 15, 16, 17, 18, 21, 23, 26, 40, 41, 44, 45, 48, 49, 58, 61, 62, 64.
Section 16.7: 3, 5, 6, 8, 10, 15, 19, 24, 26, 29, 40, 42, 45, 46.
Seciton 16.8: 4, 6, 8, 9, 13, 14, 21, 22.
Section 16.9: 5, 7, 9, 14, 16, 19, 26, 34.
Homework 8 (6/23/2021 期中考建議習題):
Section 11.8: 5, 9, 14, 17, 22, 28, 31, 32, 36, 38.
Section 11.9: 6, 9, 12, 14, 15, 18, 20, 22, 28, 30, 37, 39, 46, 47, 50.
Section 11.10: 14, 18, 29, 20, 26, 29, 40, 44, 60, 62, 69, 70, 71, 80, 82, 83-86.
注意! 期中考題目不是直接抽考作業習題!!
考試相關
Exam 1 Info
Exam 2 Info
遠距考試規則
講義