## Math 141H, Section 001: Honors Calculus with Analytic Geometry II (Spring 2015)

Instructor: Dr. Jessica M. Conway.
Lectures: MTWF 11:15am-12:05pm, Willard 208.
Office hours: McAllister 332, Mondays 3:30-5:30pm, Fridays 12:30-1:30 + by appointment.
Email: jmconway (at) psu (dot) edu
Phone: (814)865-7527

PSU offers Mathematics drop-in and online tutoring, Calculus included!
Details available at https://pennstatelearning.psu.edu/tutoring/mathematics.
Course Syllabus available HERE.

Math 141 syllabus and materials available HERE.

Text: Calculus (Single Variable), Seventh Edition, (OR) Calculus, Seventh Edition, by James Stewart, published by Thomson (Brooks/Cole).
An electronic version of the text (e-text) is available chapter by chapter, online.
You can also rent a copy from amazon.

We will cover chapters 6, 7, 10, and 11. Chapter 9 will also be discussed if there's time.

Additional materials: We will be using MATLAB for numerical computations, available for free as a WebApp at https://webapps.psu.edu/. Alternatively you may use the software of your choice, for example Python, Julia, Octave, R, etc.

Homework and quiz solutions will be posted on ANGEL.

### ANNOUNCEMENTS:

• (12/01/2015) Welcome to Math 141H!

• ### Exam Dates:

• Midterm test 1 (subject to change): Friday Feb 13, in class.

• Midterm test 2 (subject to change): Friday April 3, in class.

• Final exam: Wednesday May 6, 6:50-8:40pm, in 360 Willard.

100 points (20%) from homework assignments and quizzes + 20 points (4%) from seminar reports + 115 points (23%) for Midterm 1 + 115 points (23%) for Midterm 2 + 150 points (30%) from the Final Exam = 500 points (100%).

### Quizzes

• 15 minutes, every Wednesday, based on the previous week's homework.
• We'll drop the lowest two quizzes to calculate the final quiz grade.
• Solutions will be posted on ANGEL.

### Homework

• due each week at the beginning of the Tuesday class.
• Each week's homework listed in the lecture outline table below.
• Solutions will be posted on ANGEL. Homework problems are listed here and also on ANGEL.

• ### Seminar reports

• You are required to attend 2 math seminars, outside of lecture, and turn in a report.
• Lists of available seminars can be found here and here. I recommend the CCMA Luncheon Seminar but it's up to you. The PSU Math Club also occasionally hosts talks by faculty.

• ### Documents

• (20/01/2015) Set of Proof-by-induction practice problems: link. Solutions will be posted in a few weeks.
• (23/01/2015) Newton Cooling example from lecture. Approach is the same as the radioactive decay example. link.
• (27/01/2015) A nice crash course in Matlab, written by Adam Attarian at NC State. May be helpful.
• (8/02/2015) Tricks for integration. May be helpful.
• (8/02/2015) Trig identities and basic integration formulas sheet. Will be provided for Quiz 4, Midterm 1, and Final Exam.
• (11/02/2015) From Math 141: More Integrals. Solutions posted on ANGEL.
• (11/02/2015) Practice exam, and solutions.
• (11/02/2015) Solutions to Proof-by-induction problems from 20/01/2015.
• (16/02/2015) Related rates handout.
• (11/02/2015) Indeterminate differences examples: link.

• ### Lecture Schedule

Note: this schedule is tentative. I will adjust as the semester proceeds so that it reflects our actual progress.

January 12 Introduction
VI. Inverse functions: inverse functions, exponential functions

6.1 - 6.2 Homework 1
January 19
VI. Inverse functions: Logarithmic functions and derivatives, exponential growth and decay

6.3 - 6.5 Homework 2
January 26
Types of growth: semilog and loglog plotting with data
VI. Inverse functions: inverse trigonometric functions
VII. Techniques of integration: integration by parts

6.6, 7.1 Homework 3
Matlab code, to modify for the homework
(Anything on a line after an ampersand & is a "comment" that Matlab ignores; there are lots of comments to help you with this part of the homework.)
Excel file, alternative to Matlab code.
February 2
VII. Techniques of integration: trigonometric integrals, trigonometric substitutions, integration of rational functions by partial fractions

7.2 - 7.4 Homework 4
February 9
VII. Techniques of integration: other integration techniques

Midterm 1 review

MIDTERM 1 on Friday

7.5 Midterm 1 Review Problems

Practice Midterm 1, solutions.
February 16
VI. Inverse functions: indeterminate forms and L'Hopital's rule
VII. Techniques of integration: improper integrals

6.8, 7.8 Homework 5
February 23
Numerical methods of integration using MATLAB

7.7 Homework 6
Code: Hw6Num1f.m, Hw6Num1v.m
March 2
XI. Infinite series and sequences: sequences and series

11.1 - 11.2 Homework 7
March 9
SPRING BREAK

-- --
March 16
XI. Infinite series and sequences: integral test, comparison test, alternating series

11.3 - 11.5 Homework 8
March 23
XI. Infinite series and sequences: absolute & conditional convergence, root & ratio test, power series

11.6 - 11.8 Homework 9
March 30
XI. Infinite series and sequences: Representation of functions as power series

MIDTERM 2 on Friday

11.9 Midterm overview

Midterm 2 Review Problems

Practice Midterm 2, solutions.
April 6
XI. Infinite series and sequences: Taylor and MacLaurin series

11.10 - 11.11 Homework 10
April 13
X. Parametric equations and polar coordinates: curves defined by parametric equations, Calculus with parametric curves.

10.1, 10.2 Homework 11
April 20
X. Parametric equations and polar coordinates: polar coordinates, areas in polar coordinates

10.2 - 10.4 Homework 12
April 27
FINAL EXAM REVIEW

Jessica M. Conway / Department of Mathematics / Pennsylvania State University