UN1101 Calculus I, Spring 2026
Instructor: Tang-Kai Lee Section 005: TuTh 8:40-9:55am at Math 207 Section 006: TuTh 10:10-11:25am at Math 417 Office hour: TuTh 7:30-8:30am at Math 413, or by appointment Contact: tl3439 "at" columbia "dot" edu TA help room: See the help room schedule.
Plan (roughly following this):Refresh the page or the file you open to make sure that it is the up-to-date version.
- Week 1 Jan 20: Function: Ideas, examples, and graphs [Note]
- Jan 22: Function: Trigonometric and exponential
- Week 2 Jan 27: Function: Logarithms and inverse functions
- Jan 29: Limit: Ideas and motivation of derivatives [Note]
- Week 3 Feb 3: Limit: Laws and the squeeze theorem
- Feb 5: Limit: Continuity and asymptotes
- Week 4 Feb 10: Differentiation: Ideas and examples [Note]
- Feb 12: Differentiation: Polynomials and the product rule
- Week 5 Feb 17: Review
- Feb 19: Midterm 1
- Week 6 Feb 24: Differentiation: Trigonometric functions
- Feb 26: Differentiation: The chain rule and examples
- Week 7 Mar 3: Differentiation: Implicit differentiation and applications
- Mar 5: Application: Related rates and linear approximation [Note]
- Week 8 Mar 10: Application: First derivative test and maximization
- Mar 12: Application: Second derivative test and convexity
- Week 9 Mar 17: (Spring Recess)
- Mar 19: (Spring Recess)
- Week 10 Mar 24: Application: Optimization problems and Newton’s method
- Mar 26: Application: Mean value theorem and consequences
- Week 11 Mar 31: Application: L’Hôpital’s rule
- Apr 2: Integration: Antiderivatives [Note]
- Week 12 Apr 7: Review
- Apr 9: Midterm 2
- Week 13 Apr 14: Integration: The area function
- Apr 16: Integration: Definite integrals
- Week 14 Apr 21: Integration: The fundamental theorem of calculus
- Apr 23: Integration: Substitution rule
- Week 15 Apr 28: Integration: Areas between curves and average values
- Apr 30: Review.
If you have any suggestions or questions for the course, say them here.
Back to teaching.