Fall 2019 MATH 1071
Calculus 都計工設微積分
Syllabus 課程大綱
演習課與助教分配
Office Hour 分配
宣導事項
教學進度
9/9/2019 (星期一): Greetings, Pre-calculus review.
9/11/2019 (星期三): Functions, graphs, exponential and logarithmatic functions.
9/16/2019(星期一): Introduction to limits, limits involving infinity.
9/18/2019(星期三): Continuity.
9/23/2019(星期一): Introduction to differentiation, properties and computations.
9/25/2019(星期三): Differentials.
9/30/2019(星期一): Marginal analysis, derivatives of exponential and logarithmic functions.
10/2/2019(星期三): Product and quotient rules.
10/7/2019(星期一): Chain rules and implicit differentiations.
10/9/2019(星期三): Related rates.
10/14/2019(星期一): Elasticity of demands, first derivatives and graphs.
10/16/2019(星期三): First derivatives and graphs, second derivatives and graphs.
10/21/2019(星期一): L'Hopital's rules, curve sketching.
10/23/2019(星期三): Curve sketching.
10/28/2019(星期一): Absolute max/min, optimizations.
10/30/2019(星期三): Optimizations.
11/4/2019(星期一): Optimizations, the definite integrals.
11/6/2019(星期三): Review on exponential and logarithmatic functions.
11/11/2019(星期一): No class: 校慶。
11/13/2019(星期三): Midterm 1.
11/18/2019(星期一): The fundamental theorem of calculus, indefinite integrals.
11/20/2019(星期三): Integration by substitutions.
11/25/2019(星期一): Differential equations, area between curves.
11/27/2019(星期三): Probability density functions.
12/2/2019(星期一): Integration by parts, integration by tables.
12/4/2019(星期三): Functions of several variables and graphs.
12/9/2019(星期一): Partial derivatives and local extrema.
12/11/2019(星期三): Optimizations and introduction to Lagrange multipliers.
12/16/2019(星期一): More examples on Lagrange multipliers, method of least squares.
12/18/2019(星期三): Double integrals over rectangular regions.
12/23/2019(星期一): Double integrals over regular regions, intro. to trigonometric functions.
12/25/2019(星期三): Derivatives and integrations of trigonometric functions.
12/30/2019(星期一): Some differentiation/integral computations for trig. functions.
建議習題
Homework 1 (9/25/2019 演習課小考):
Section 2.1: 21~24, 36, 38, 44, 46, 48, 52, 55, 58, 61, 78, 89, 92, 95.
Section 2.2: 10, 12, 14, 16, 19, 23, 24, 28, 29, 36, 41, 42, 44, 47, 58, 62, 63, 85, 88.
Section 2.3: 33, 36, 39, 40, 52, 53, 70, 74, 75, 76, 91, 96, 98
Section 2.4: 10, 14, 20, 28, 38, 43, 67, 71, 75
Homework 2 (10/9/2019 演習課小考):
Section 2.5: 39, 45, 56, 60.
Section 2.6: 25, 30, 31, 49, 52.
Section 2.7: 12, 16, 20, 37, 45, 49.
Section 3.1: 41, 45.
Section 3.2: 16, 17, 23, 26, 32, 49, 52, 71.
Section 3.3: 20, 26, 31, 32, 42, 46, 54, 64, 65, 76, 81, 87, 91.
Homework 3 (10/23/2019 演習課小考):
Section 3.4: 20, 30, 43, 44, 49, 56, 58, 65, 66, 76, 78, 84, 88, 98.
Section 3.5: 19, 24, 28, 33, 34, 44, 55, 58, 60.
Section 3.6: 12, 19, 25, 35, 37.
Section 3.7: 36, 48, 51, 60, 72, 83, 84.
Section 4.1: 10, 22, 25, 36, 40, 43, 44, 46, 56, 60, 69-74, 97.
Section 4.2: 10, 19, 26, 30, 37, 39, 53, 58, 61, 65, 69.
Homework 4 (11/6/2019 演習課小考):
Section 4.3: 22, 23, 28, 32, 44, 48, 51, 53 ,56, 62, 64, 66.
Section 4.4: 20, 26, 30, 40, 47, 56, 76.
Section 4.5: 23, 34, 37, 42, 43, 47, 57, 63, 65, 70.
Sectino 4.6: 10, 15, 19, 21, 27, 40, 42, 43.
Section 5.4: 24, 28, 32, 36, 39, 42, 46, 50, 55, 58.
Homework 5 (11/27/2019 演習課小考):
Section 5.5: 15, 20, 30, 32, 37, 42, 44, 58, 59, 61, 71, 76.
Section 5.1: 14, 20, 44, 46, 2, 59, 61, 64, 78.
Section 5.2: 16, 32, 33, 38, 44, 72, 78, 80.
Homework 6 (12/11/2019 演習課小考):
Section 6.1: 17, 22, 25, 33, 34, 35, 36, 56.
Section 6.2: 25, 27, 30.
Section 6.3: 20, 23, 28, 38, 44, 46, 52, 55, 58, 75, 76, 79.
Section 6.4: 40, 46, 48.
Section 7.1: 10, 20, 44, 46, 55, 65.
Homework 7 (12/25/2019 演習課小考):
Section 7.2: 14, 16, 20, 23, 31, 33, 41, 64, 82.
Section 7.3: 23, 26, 30, 41, 45.
Section 7.4: 14, 18, 24, 32, 35.
Section 7.5: 24, 34.
Section 7.6: 16,19, 22, 26, 34, 37, 49.
Homework 8 (供第二次期中考練習):
Section 7.7: 15, 18, 20, 22, 25.
Section 8.2: 13, 18, 26, 40.
Section 8.3: 12, 16, 22.
考試相關
Exam 2 Info
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