課程資訊

Calculus (general Mathematics) (a)(1)

104-1

MATH1201

201 101A1

11

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1041MATH1201_11

1. Limits and continuity
2. Differentiation
3. Mean-value theorem and applications
4. Integration
5. Applications of the integral
6. The transcendental functions
7. Techniques of integration
8. Polar coordinate

Understand "Limit,Continuity, Differentiation and Integration".

Office Hours

10th edition. Calculus/ Larson;Edwards;Shann

(僅供參考)

 No. 項目 百分比 說明 1. 期中考(Midterm Exam) 30% 2. 期末考(Final Exam) 40% 3. 其他(Others) 30% A.小考(Quiz)4選3(30%) or B.小考(Quiz)4選3(15%)+ 作業6選5(Homework)(15%) 加分(Bonus):出席(Attendance) (5%): 4-7(1%);8-11(2%);12-15(3%);16-19(4%); 20 up(5%)

 課程進度
 週次 日期 單元主題 第1週 9/14,9/18 1.1 A Preview of Calculus 1.2 Finding Limits Graphically and Numerically 1.3 Evaluating Limits Analytically 第2週 9/21,9/25 1.3 Evaluating Limits Analytically 1.4 Continuity and One-Sided Limits 1.5 In nite Limits Homework 1 (Due Date: 10/02) 1.2 #36,#64 1.3 #56,#58,#65,#72,#124 1.4 #66,#111 1.5 #23 第3週 9/28,10/02 Mid-Autumn Festival 2.1 The Derivative and the Tangent Line Problem 2.2 Basic Di erentiation Rules and Rates of Change 第4週 10/05,10/09 Quiz 1 (10/05)--Chapter 1 2.3 Product and Quotient Rules and Higher-Order Derivatives 10/09Double tenth day 第5週 10/12,10/16 2.3 Product and Quotient Rules and Higher-Order Derivatives 2.4 The Chain Rule 2.5 Implicit Differentiation 2.6 Related Rates 3.1 Extrema on an interval Homework 2 (Due Date:10/23) 第6週 10/19,10/23 3.2 Rolle’s Theorem and the Mean Value Theorem 3.3 Increasing and Decreasing Functions and the First Derivative Test 3.4 Concavity and the Second Derivative Test 3.5 Limits at Infinity 3.6 A Summary of Curve Sketching 第7週 10/26,10/30 3.7 Optimization Problems 3.9 Differentials 4.1 Antiderivatives and Indefinite Integration 4.2 Area Quiz 2 (Chapter 2) Homework 3 (Due Date:11/02) 第8週 11/02,11/06 4.3 Riemann Sums and Definite Integrals 4.4 The Fundamental Theorem of Calculus 4.5 Integration by Substitution 第9週 11/09,11/13 Midterm Exam(ch1-ch4) 第10週 11/16,11/20 5.1 The Natural Logarithmic Function: Differentiation 5.2 The Natural Logarithmic Function: Integration 5.3 Inverse Functions 5.4 Exponential Functions: Di fferentiation and Integration 第11週 11/23,11/27 5.5 Bases Other Than e and Applications 5.6 Inverse Trigonometric Functions: Di fferentiation 5.7 Inverse Trigonometric Functions: Integration 5.8 Hyperbolic Functions Homework 4 第12週 11/30,12/04 5.8 Hyperbolic Functions 8.1 Basic Integration Rules 8.2 Integration by Parts 8.3 Trigonometric Integrals 第13週 12/07,12/11 8.4 Trigonometric Substitution 8.5 Partial Fractions 8.6 Integration by Tables and Other Integration Techniques 8.7 Indeterminate Forms and L’Hôpital’s Rule 第14週 12/14,12/18 8.7 Indeterminate Forms and L’Hôpital’s Rule 8.8 Improper Integrals Quiz 3 (5.1-5.7,8.1-8.4) 6.1 Slope Fields and Euler’s Method 6.2 Differential Equations: Growth and Decay Homework 5 第15週 12/21,12/25 6.3 Separation of Variables and the Logistic Equation 6.4 First-Order Linear Differential Equations 7.1 Area of a Region Between Two Curves 7.2 Volume: The Disk Method 第16週 12/28,1/01 7.2 Volume: The Disk Method 7.3 Volume: The Shell Method 7.4 Arc Length and Surfaces of Revolution Homework 6 New Year's Day 第17週 1/04,1/08 7.5 Work 7.6 Moments, Centers of Mass, and Centroids Quiz 4 (Ch1-Ch8:Formulas) Review(Ch1-Ch8) 第18週 1/11,11/15 Final Exam (Ch1-Ch8) Ending