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).
Alternatives to purchasing the book:
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.

    • Grading

    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.
  • Seminar report template: link.

    • 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.

    Week Topic Reading Homework Problems
    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