Math 174 -
Honors Multivariable Calculus, Spring 2025

Course: Math 174,
Honors Multivariable Calculus
Instructor: Alex Iosevich iosevich@gmail.com
Teaching Assistant: Nathan Skerrett
Meeting time: MW 10:25-11:40 a.m.
Office Hours: MW 9:00-10:20
Textbook: Apostol Volume 2 and some notes on
differential forms.
Grading: Final Exam %40, Midterm %30, Homework %30
The lowest two homework grades will be dropped.
Homework #1, due on
Sunday, February 9, 11:59 p.m.
8.3 1a, 1c, 1f, 5, 9, 12
8.5 1, 2, 5, 9
8.9 1, 21, 22
8.14 1, 5, 10
8.17 1, 6, 12
8.22 1, 7, 12
Homework #2, due on Sunday, February 16, 11:59 p.m.
9.8 1, 3, 7, 11
9.13 1, 5, 13, 19, 21, 25
9.15 1, 5, 9, 11
Homework #3, due Sunday, March 2, 11.59 p.m.
10.5 1, 3, 5, 7, 10, 11
10.9 1, 5, 10, 11
10.13 2, 4, 7, 9
10.18 5, 9, 15, 17
Homework # 4, due Thursday, March 27, 11.59 p.m.
11.9 3, 5, 7, 10, 14
11.15 1, 6, 7, 20, 22
11.22 1, 4, 7, 8
Midterm, Wednesday, March 26, 6 p.m.
Points of emphasis:
-- Theorem 8.1, 8.2, 8.5, 8.6, 8.8. 8.10, 8.11,
-- Theorem 9.3, 9.4, 9.5, 9.6, 9.7, 9.10,
-- Theorem 10.2, 10.3, 10.4, 10.5, 10.6
-- Theorem 11.1, 11.2, 11.3, 11.5, 11.6, 11.7, 11.8,
-- Cauchy-Schwartz inequality
-- Line integral calculations from the homework
-- Simple Lagrange multiplier problems
-- Maxima, minima, and saddle point calculations from the
homework
-- Double integral calculations from the homework
-- Chain rule manipulations from the homework
-- Applications to mechanics (Section 10.12)
-- Make sure that you are able to prove that various sets do
or do not have content 0.