Midterm Exam 2

Scheduled Thursday, April 19, in class

Covers material from Mar 6 - Apr 10 (see the Course Log)

[Practice problems]

Homework

#10 Due Tue, Apr 17: 45.G, 45.K, 45.M, 45.O, 45.P
#9 Due Tue, Apr 10: 45.B, 45.C, 45.D
[Partial Solutions]
#8 Due Thur, Mar 29: 44.G, 44.H (a), 44.J (Use 43.R), 44.K, 44.O, 44.R
[Partial Solutions]
#7 Due Thur, Mar 22: 43.B, 43.D, 43.Q, 43.R, 43.S
[Partial Solutions]
#6 Due Tue, Feb 27: 42.O, 42.P, 42.Q, 42.R, 42.S(a,c), 42.U
[Partial Solutions]
#5 Due Tue, Feb 20: 42.A(a-c), 42.B, 42.D, 42.E, 42.F(d,e)
[Partial Solutions]
#4 Due Thur, Feb 8: 41.M, 41.N(a-b), 41.O, 41.R, 41.W
[Partial Solutions]
#3 Due Thur, Feb 1: 41.D, 41.J, 41.K, 41.L, 41.U, 41.V
[Partial Solutions]
#2 Due Thur, Jan 25: 40.E, 40.L, 40.R, 40.S, 40.T, 40.U
[Partial Solutions]
#1 Due Thur, Jan 18: 21.M, 39.E, 39.J, 39.T, 39.V, 39.W
[Partial Solutions]

Course Log

Covered
Apr 10 § 45 Change of Variables: Problems
Apr 3 § 45 Change of Variables
Mar 29 § 45 Transformations by Linear Maps, Nonlinear Maps, Jacobian Theorem
Mar 27 § 44 Integral as Iterated Integral, § 45 Transformations and Sets
Mar 22 § 44 Further Properties of Integral, Mean Value Theorem
Mar 20 § 44 Sets with Content, Content Function
Mar 8 § 43 Properties of Integral, Existence Theorem
Mar 6 § 43 Content Zero, Definition of Integral
Mar 1 Midterm Exam 1
Feb 27 Review for Midterm Exam 1
Feb 22 § 42 Inequality Constraints, Problems
Feb 20 § 42 Extremum Problems with Constraints, Lagrange's Theorem
Feb 15 § 42 Second Derivative Test
Feb 13 [winter storm]
Feb 8 § 42 Local Extrema
Feb 6 § 41 Inversion Theorem, Implicit Functions
Feb 1 § 41 Surjective Mapping Theorem; Open Mapping Theorem
Jan 30 § 41 Injective Mapping Theorem
Jan 25 § 41 Class C¹, Approximation Lemma
Jan 23 § 40 Interchange of Order of Differentiation, Taylor's Theorem
Jan 18 § 40 Chain Rule and Mean Value Theorems
Jan 16§ 39 Existence of Derivative
Jan 11 § 39 The Derivative
Jan 9 § 21 Linear functions, § 39 Partial derivatives

Midterm Exam 1

Scheduled Thursday, March 1, in class

Covers material from Jan 9-Feb 22 (see the Course Log)

[Practice Problems]

Course Information

Schedule: TTh 10:30-11:45am in MATH 211

Instructor: Arshak Petrosyan
Office Hours: TTh 9:30 -10:30am, or by appointment, in MATH 610

Course Description: MA442 covers the foundations of real analysis in several variables, assuming the single variable notions of these concepts.
Prerequisite: MA440

Textbook:
[B] R. Bartle, The Elements of Real Analysis, Second Edition, John Wiley & Sons, New York, 1975.
Additional text:
[R] W. Rudin, Principles of mathematical analysis, Third edition, McGraw-Hill, New York, 1976

Homework will be collected weekly on Thursdays. The assignments will be posted on this website at least one week prior the due date.

Exams: There well be two in-class midterm exams and a comprehensive final exam (covering all topics). The exact time and place will be specified as the time approaches.