Sucharit Sarkar
Department of Mathematics
Columbia University


Course information

Calculus 4
Time: Monday, Wednesday, 1:10pm to 2:25pm.
Location: Room 203, Mathematics.
Textbook: Calculus Early Transcendentals (6th edition) by James Stewart.
Additional materials: Notes 1, Notes 2, Notes 3 by Robert Friedman. Visual Complex Analysis by Tristan Needham.
Syllabus: Chapters 15, 16 from Calculus Early Transcendentals, and the notes by Robert Friedman on complex numbers (up to and including Section 3.2).
Grading: Homeworks 20% (the two lowest homework grades will be dropped) and max of (Midterm 30%, Final 50% and Midterm 35%, Final 45%).


Instructor information

Sucharit Sarkar
Office: Room 627, Mathematics.
Office hours: Wednesday 2:30pm to 4:30pm.
Phone: 212-854-9251
Email:

TA information

Shazia Dharssi
Office: Room 406, Mathematics.
Office hours: Tuesday 2:30pm tp 4:30pm.
Email:


Additional information

There is a help room at Room 406, Mathematics and it is staffed 10am-7pm from Monday to Thursday and 12:30pm-5pm on Friday.
Calculators are not required and will not be allowed in exams.
Homeworks are due on Mondays in a box opposite to Room 410, Mathematics. Late homeworks will not be accepted. Graded homeworks will be returned in class.
The midterm is on March 9. The syllabus is up to (and including) Section 16.3 of Stewart.
The final exam is on May 9 from 1:10pm to 4pm at Room 203, Mathematics.
Some information is also available at Courseworks.
Some practice exams are available at Valentino Tosatti's website.

The course outline is as follows:

Jan 19	Section 15.1.
Jan 24, 26	Sections 15.2, 15.3, 15.4. HW1 is due on 31 Jan.
Jan 31, Feb 2	Sections 15.5, 15.6. HW2 is due on 7 Feb.
Feb 7, 9	Sections 15.7, 15.8. HW3 is due on 14 Feb.
Feb 14, 16	Sections 15.9, 16.1. HW4 is due on 21 Feb.
Feb 21, 23	Section 16.2. HW5 is due on 28 Feb.
Feb 28, Mar 2	Sections 16.3, 16.4. HW6 is due on 7 Mar.
Mar 7	Review.
Mar 9	Midterm.
Mar 21, 23	Sections 16.5, 16.6. HW7 is due on 28 Mar.
Mar 28, 30	Sections 16.7, 16.8. HW8 is due on 4 Apr.
Apr 4, 6	Section 16.9. HW9 is due on 11 Apr.
Apr 11, 13	Notes 1. HW10 is due on 18 Apr.
Apr 18, 20	Notes 2. HW11 is due on 25 Apr.
Apr 25, 27	Notes 3. HW12 is due on 2 May.
May 2	Review.
May 9	Final exam.

Homeworks

HW1
15.2: 4, 8, 16, 18, 30
15.3: 4, 8, 18, 24, 26, 42, 48

HW2
15.4: 6, 12, 18, 26, 36
15.6: 8, 14, 18, 34
15.7: 12, 22, 28

HW3
15.5: 8, 16, 28
15.6: 44, 50
15.7: 26
15.8: 4, 8, 16, 24, 32, 36

HW4
15.9: 8, 10, 14, 20
15.Review.Exercises: 18, 26, 28, 32, 38, 40, 48
15.Problems Plus: 2

HW5
16.1: 6, 24, 34
16.2: 2, 8, 12, 16, 22, 36, 40, 42, 46

HW6
16.3: 4, 8, 16, 18, 20, 22
16.4: 2, 4, 8, 10, 12, 18

HW7
16.5: 6, 12, 18, 29, 30, 31
16.6: 24, 44, 46, 60

HW8
16.6: 34, 36, 38, 42
16.7: 6, 10, 18, 20, 24, 28, 30, 47

HW9
16.8: 2, 4, 6, 8, 10, 12a, 14, 18
16.9: 2, 4, 6, 10

HW10
16.9: 12, 14, 18, 24
16.Review.Exercises: 6, 12, 16, 18, 28, 30, 32, 34

HW11
Notes 1:1.4: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Notes 2:2.6: 1, 2

HW12
Notes 2:2.6: 3, 4, 5, 6, 7, 8, 9, 10
Notes 3:3.5: 1, 2, 4, 5, 6