Lecturer:
- Prof. Raphael Ponge.
- E-mail: ponge[dot]math[at]icloud[dot]com.
- Office: Room 419 East, School of Mathematics (Wangjiang campus).
- Office hours: By appointment.
Teaching Assistant:
- Ms. Wang, Jieying.
- E-mail: paganiac[at]outlook[dot]com
Time and Location:
- Lectures: Tuesdays from 10:15-11:55 in Room 103, Section 1, Liberal Arts Bldg. (Jiang’an campus).
- Exercise Sessions: Thursdays from 10:15-11:55 in Room 404, Block B, 1st Teaching Bldg. (Jiang’an campus).
Main Reference:
- Calculus by James Stewart, 8th edition.
Grading Scheme:
- 20% (Midterm exam), 20% (homework + attendance), 60% (Final Exam).
- There will be at least 10 homework assignments.
- The Midterm Exam will be on Saturday, May 9 (make-up day) from 10:15-11:55.
- Date and time of Final Exam will be communicated later.
Slides of Lectures:
Chapter 2: Derivatives
- Section 2.1: Derivatives (slides).
- Section 2.2: The Derivative as a function (slides).
- Section 2.3: Differentiation formulas (slides).
- Section 2.4: Derivatives of trigonometric functions (slides).
- Section 2.5: The Chain Rule (slides).
- Section 2.6: Implicit differentiation (slides).
- Section 2.7: Derivatives in the natural and social sciences (slides).
- Section 2.8: Related rates (slides).
- Section 2.9: Linear approximation and differentials (slides).
Chapter 3: Applications of Derivatives
- Section 3.1: Maximum and minimum values (slides).
- Section 3.2: The Mean Value Theorem (slides).
- Section 3.3: How derivatives affect the shape of a graph (slides).
- Section 3.4: Limits at infinity; horizontal asymptotes (slides).
- Section 3.5: Summary of curve sketching (slides).
Homework Assignment:
Homework 1 (due April 2):
- Section 2.1: # 14, 20, 28.
- Section 2.2: # 24, 22.
- Section 2.3: # 20, 24, 36, 78.
- Section 2.4: # 16, 22, 32, 44, 50.
Homework 2 (due April 9):
- Section 2.5: 10, 24, 30, 38.
- Section 2.6: 6, 26, 30.
- Section 2.9: 2, 4, 14.
Homework 3 (due April 16):
- Section 2.7: # 4 (parts (a) through (d) only), 14, 18, 30.
- Section 2.8: # 16, 20, 22.
Homework 4 (due April 23):
- Section 3.1: # 32, 40, 46, 56.
- Section 3.2: # 6, 12, 18, 26.
Homework 5 (due April 30):
- Section 3.3: # 8, 10, 14, 18, 20.
- Section 3.4: # 10, 12, 22, 36.