Math 135A: Honors Accelerated Calculus

Professor Monty (William) McGovern;  TA Julie Zhang
Winter 2020


Instructor:
Monty (or William) McGovern
Office: Padelford C-450; TA office Padelford C-115
Phone: 206-543-1149
Email: mcgovern@math.washington.edu
Office Hours: MWF 12:30 and by appointment; TA office hours: Th 12:30-2:30
Lectures:
Monday-Friday, 11:30-12:20 p.m.,
Required Texts:

Calculus: One and Several Variables by Salas and Hille (10th ed., Wiley, 2007)Elementary Differential Equationsand Boundary Value Problems by Boyce-DiPrima (10th ed., Wiley, 2012)

Prerequisites:

2.5 in Math 134 or the equivalent.

Exams:

1st Midterm: Friday, January 31, in class.
2nd Midterm: Friday, February 28, in class.
Final (NEW!!!): Wednesday, posted by 12:00, taken online, due by 4:30 p.m.

Grading:
Your course grade will be based on homework (30%), two midterms (40%), and a final (30%). Assignments will be given weekly (see the schedule below), and all problems turned in will be graded this term. All problems are due at the beginning of class on Friday. If you must miss a test due to illness or emergency, I would very much appreciate advance notice. In all tests you may use two letter-sized pages (one sheet front and back of notes in your own handwriting).
Incompletes and Drops:
The grade of Incomplete will be given ONLY if a student has been doing satisfactory work until the end of the quarter and then misses the final exam for a documented illness, religious reason, or family emergency.
What to Expect:
This is the second quarter of a three-quarter sequence in honors accelerated calculus; overall the series covers the content of Math 124-6 and Math 307-8 in three quarters. We will start with parametrized curves, proceed to sequences and series, say more about differential equations (switching to the Boyce-DiPrima text), and wind up with parametrized curves in higher dimensions, as in Chapters 13-14 of Salas-Hille.

             Homework

Due:
Problems:
Jan 10
10.5.18,21; 10.6.36; 10.7.19,21: read 10.5-7, skim 10.8
Jan 17
11.2.61.62; 11.3, Problem 2, p. 548; 11.4.48; show that for any real number r and positive real a, there is a difference \sqrt{m}-\sqrt{n} of square roots of positive integers that lies within a of r: read 11.1-6, 4.12, 12.1-3
Jan 24
12.5.40; 12.9.28,45; 12.9B, problems 1,2: finish Chapter 12
Jan 31
study problems, first midterm: 12.3.25,30,49,50; 12.review,8,10,12,13; Boyce-DiPrima 2.4.1-3; 2.6.1,5: read Boyce-DiPrima 2.6,8
Feb 7
Boyce-DiPrima 3.2.29; 3.3.35; 3.5.2; 3.6.5; 3.7.6: read 3.2-7
Feb 14
5.2.2; 6.2.28; 6.3.13; 6.4.13,17: read 5.1,2, 6.1-4
Feb 21
Salas-Hille 13.3.45-47; 13.4.37,40: read 13.1-5
Feb 28
study problems, second midterm: Boyce-DiPrima 3.6.9-11; 6.4.5-7; 6.6.15-17; Salas-Hille 13.6.21-23; 14.3.35-37: read SH 14.1-5; midterm through 14.3
Mar 6
SH 16.1.37; 16.2.39,40; 16.3.26,27: read 16.1-4, skim Chapter 15
Mar 13
study problems, final: SH 10.5.24,33; 11.5.33; 11.7.30,32; 12.5.43; 12.6.7; 13.6.37; 14.4.23; 16.1.43; 16.3.25; BdP 3.5.11; 3.6.11;12; 3.7.13; 6.6.13


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