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

Instructor: Dr. Jessica M. Conway.
Lectures: MWF 11:15am-12:05pm, 307 Boucke; Thursdays 11:15am-12:05pm, Hhd East.
Office hours: McAllister 332, Mondays 3:30-5:30pm, Wednesdays 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: Thursday Oct 1, in class.

• Midterm test 2: Thursday Nov 12, in class.

• Final exam: Week of Dec. 14, TBA.

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 MASS Colloquium but it's up to you. The PSU Math Club also occasionally hosts talks by faculty.
• Alternatively you can attend a seminar in your own major with some math content. Just run it by me first.

• ### Documents

• (08/24/2015) A nice crash course in Matlab, written by Adam Attarian at NC State. May be helpful.
• (08/24/2015) PROOFS BY INDUCTION: link (excerpt from Richard Hammack's Book of Proof).
• (08/24/2015) Set of Proof-by-induction practice problems: link. Solutions will be posted in a few weeks.

• ### Lecture Schedule

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

August 24 Introduction
VI. Inverse functions: inverse functions, exponential functions

6.1 - 6.2 Homework 1
August 31
VI. Inverse functions: Logarithmic functions and derivatives, exponential growth and decay

6.3 - 6.5 Homework 2
September 7
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 a percent symbol % 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.
September 14
VII. Techniques of integration: trigonometric integrals, trigonometric substitutions, integration of rational functions by partial fractions

7.2 - 7.4 Homework 4
September 21
VII. Techniques of integration: other integration techniques, Midterm 1 review
Numerical integration using MATLAB (Friday)

7.5, 7.7 Homework 5

Matlab code: Hw5Num1f.m, Hw5Num1v.m.
September 28
Numerical methods of integration using MATLAB
MIDTERM 1 on Thursday

7.7
October 5
Numerical methods of integration using MATLAB
VI. Inverse functions: indeterminate forms and L'Hopital's rule

7.7, 6.8
October 12
Numerical methods of integration using MATLAB (Monday)
VI. Inverse functions: indeterminate forms and L'Hopital's rule
VII. Techniques of integration: improper integrals

6.8, 7.8, 11.1 Homework 6
October 19
XI. Infinite series and sequences: series, integral test, comparison test

11.2 - 11.4 Homework 7
October 26
XI. Infinite series and sequences: alternating series, absolute & conditional convergence, root & ratio test

11.5 - 11.7 Homework 8
November 2
XI. Infinite series and sequences: Power series

11.8 - 11.10 Homework 9
November 9
XI. Infinite series and sequences: Representation of functions as power series, Taylor and MacLaurin series

MIDTERM 2 on Thursday

11.10
November 16
XI. Infinite series and sequences: Applications of Taylor and MacLaurin series

X. Parametric equations and polar coordinates: curves defined by parametric equations, Calculus with parametric curves.

11.1, 10.1, 10.2 Homework 10
November 23
THANKSGIVING BREAK

-- --
November 30
X. Parametric equations and polar coordinates: polar coordinates, areas in polar coordinates

10.2 - 10.4
December 7
X. Parametric equations and polar coordinates: areas in polar coordinates

10.4

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