Math 1XX3 -- Calculus for Math and Stats II
(Winter 2017)

This course is the second course on calculus for mathematics and statistics majors.

News Homework Handouts Grading Scheme Dates Policies

Course Information

Instructor: Adam Van Tuyl

Office: Hamilton Hall 419
Office Hours: M: 1:30-2:20, Th: 10:30-11:20
Email: vantuyl@math.mcmaster.ca

Place and Time:

Class: Mo 3:30-4:20PM, Tu 4:30-5:20PM, Th 3:30-4:20PM in JHE 264
Tutorial 01: Tu 3:30PM - 4:20PM in ABB 271
Tutorial 02: Tu 8:30AM - 9:20AM in HH 104
Tutorial 03: Tu 12:30PM - 1:20PM in HH 104

The TA is Tyler Meadows (meadowta@math.mcmaster.ca) who can be reached via email. In addition, he'll be in HH104 4:30-7:30 every Monday to answer questions.

Textbook:

Calculus: Early Trascendentals (8th Edition)
by James Stewart

Web Tools:

We will be using WebAssign. You will need to purchase a copy (if you had a copy from Math 1X03 last semester, it will still work).
You will also require the following key: mcmaster 1317 4715

News (Last Updated April 6, 2017)

The final exam is April 26, 2017. Here is some useful material: Final Exam Review Sheet Final Exam (2016 Version - Blank) Final Exam (2016 Version - With Solutions) An exam review session has also been scheduled: Day: Monday. April 24, 2017 Room: BSB B135 Time: 12:30-2:30PM Presenter: Tyler Meadows

Midterm 2 was on March 16 during class time. Here is some useful material: Midterm 2 Solutions to 2017 Version (Please note that I made the midterm out of 35.) Midterm 2 Review Sheet Midterm 2 (2016 Version - Blank) Midterm 2 (2016 Version - With Solutions)

Midterm 1 was on Febuary 13 during class time. Here is some useful material: Midterm 1 Solutions to 2017 Version Midterm 1 Review Sheet Midterm 1 (2016 Version - Blank) Midterm 1 (2016 Version - With Solutions) Note that there were some problems with the grading of the midterm. Please compare your test with the solutions. If you feel you should have received additional marks, please write on the front of your midterm which question needs to be regraded and hand it either to me (in my office) or the Tyler, your TA. We will except midterms until the end of this week (March 3).

Course evaulations are now open. You have from March 28 to April 10 to give your feedback on the course and instructor. Please go to: evals.mcmaster.ca

You can find copies of the lecture notes here:

• Lecture Notes for Math 1XX3 (Thanks to those who volunteered!)

Below is a summary of what we did in class, plus any relevant news and/or information.

• April 6, 2017 Today was the last day of class. We finished up Section 14.7 which described how to find the max and min of a two-variable function on a closed and bounded set. I also talked about what happens after Math 1XX3.
• April 4, 2017 Today we looked at Section 14.7 on how to find the local max and min of a two-variable function.
• April 3, 2017 We finished up Section 14.6 on how to find the direction of greatest increase using the gradient.
• Mar. 30, 2017 We went over Section 14.6 where I described the directional derivative.
• Mar. 28, 2017 Today we went over the multi-variable chain rule described in Section 14.5.
• Mar. 27, 2017 We went over Section 14.4 on tangent planes and linear approximations.
• Mar. 23, 2017 Midterm 2 will be ready to pick up by Friday. Please note that I have marked the exam out of 35 (although it says 37 on the midterm).
• Mar. 21, 2017 I finished up Section 14.1, and then I talked about limits and continuity for functions in several variables (see Section 14.2).
• Mar. 20, 2017 Today we finished up Chapter 11 (11.11). We talked about using Taylor polynomials to estimate functions. We also started Chatper 14 by discussing functions in many variables.
• Mar. 16, 2017 Midterm 2.
• Mar. 14, 2017 SNOW DAY!
• Mar. 13, 2017 We discussed how to find the Taylor or Maclaurin series of a function, and talked about two examples (integrating functions and finding limits). See Section 11.10.
• Mar. 9, 2017 We went over Section 11.10 where I introduced Taylor and Maclaurin series.
• Mar. 7, 2017 Today we went over Section 11.9 where we discussed representing functions as a power series. We also discussed how to integrate and take derivatives with power series.
• Mar. 6, 2017 I introduced generating functions today. I also introduced the radius of convergence and interval of convergence. See Section 11.8 for more details.
• Mar. 2, 2017 I first discussed rearrangements, and what it means for conditionally convergent series. I then talked about about strategies for testing for convergence (see Section 11.7).
• Feb. 28, 2017 I covered Section 11.6 on absolute convergence, the root test, and the ratio tst.
• Feb. 27, 2017 We went over the alternating series test discussed in Section 11.5.
• Feb. 15, 2017 I posted the solutions to Midterm 1 above. We looked at Section 11.4 on the comparision test.
• Feb. 14, 2017 We looked at Section 11.3 where we learned how to integration to determine if a series converges (the Integral Test).
• Feb. 13, 2017 Midterm 1 was today.
• Feb. 9, 2017 Today we covered Section 11.2 where I introduced series. We looked at the geometric series, and discussed when it converges. I also introduced the divergence test.
• Feb. 7, 2017 We started our discussion of Chapter 11 on sequence and series today. Today we focused on Section 11.1.
• Feb. 6, 2017 Today we did more examples of polar coordinates and calculus. See Section 10.4. Please note that the first midterm will cover up to today's material.
• Feb. 2, 2017 We continued to do learn how to do calculus with curves defined in polar coordinates (see Section 10.4).
• Jan. 31, 2017 We started to learn how to do calculus with curves defined in polar coordinates (e.g. tangents and areas).
• Jan. 30, 2017 Today we looked at Section 10.3 which introduces polar coordinates.
• Jan. 26, 2017 To reinforce the ideas of the last two classes, we looked at the cycloid, a special type of parametric curve, in detail. Here's a nice video related to the cycloid.
• Jan. 24, 2017 We looked at Section 10.2. In particular, we learned how to find the derivative of parametic curves, measure their arc-length, and how to find the area under such a curve.
• Jan. 23, 2017 Today we started our look at Chapter 10. We focused on Section 10.1. I introduced parametric curves, and how to draw such curves.
• Jan. 19, 2017 This was our last class on DEs. I explained how to solve linear first order DEs. See Section 9.5 for more details.
• Jan. 17, 2017 We solved the two population models described in the first class on DEs. Both population models are examples of separable DEs (see Section 9.4).
• Jan. 16, 2017 Today I introduced separable differential equations (see Section 9.3). In particular, I described a method to DEs of this form.
• Jan. 12, 2017 We looked at Section 9.2 that describes some numerical and graphical ways of describing differential equations. A reminder that your first homework is due next week Friday.
• Jan. 10, 2107 Today we started Chapter 9. I introducted differential equations.
• Jan. 9, 2017 In today's class we will finish up Section 7.4 on partial fractions.
• Jan. 5, 2017 Today was our first class. I introduced the course and I started our discussion of partial fractions (one of the integration techniques). See Section 7.4 for more details.
• Jan. 4, 2017 Happy New Year! Our first class will be tomorrow.

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Homework and Practice Assignments

There are weekly homework assignments. All homework will be due on Fridays at 11:59PM. Homework will be done via WEBASSIGN.

For the homework problems on WebAssign, you will be allowed ten attempts. For the practice problems on WebAssign, you will receive the solution after three tries (with details, if available).

Here is the key you will need to log into Webassign: mcmaster 1317 4715

Lectures 1-4 [Jan. 5-12] Assignment 1

• Assigned: (Due Jan 20)
  • Section 7.4: 4, 8, 9, 12, 19
  • Section 9.1: 4, 6, 8, 10
  • Section 9.2: 4, 6, 22, 28
• Practice:
  • Section 7.4: 2, 11, 13, 14, 23
  • Section 9.1: 3, 7, 9, 13
  • Section 9.2: 3, 11, 21

Lectures 5-7 [Jan. 16-19] Assignment 2

• Assigned: (Due Jan 27)
  • Section 9.3: 4, 6, 22, 38
  • Section 9.4: 4, 6, 12, 22
  • Section 9.5: 6,14, 16, 32
• Practice:
  • Section 9.3: 1, 13, 39
  • Section 9.4: 3, 7, 11, 21
  • Section 9.5: 9, 11, 17, 23

Lectures 8-10 [Jan. 23-26] Assignment 3

• Assigned: (Due Feb. 3)
  • Section 10.1: 4, 10, 14, 22, 24
  • Section 10.2: 5, 11, 17, 25, 31, 32, 35, 42
• Practice:
  • Section 10.1: 7, 15, 28
  • Section 10.2: 3, 13, 29, 38, 41

Lectures 11-14 [Jan. 30-Feb. 6] Assignment 4

• Assigned: (Due Feb. 10)
  • Section 10.3: 5, 11, 17, 30, 32, 37
  • Section 10.4: 2, 10, 20, 24, 26, 32, 47
• Practice:
  • Section 10.3: 3, 8, 19, 33
  • Section 10.4: 5, 13, 21, 25

Lectures 15-19 [Feb. 7-16] Assignment 5

• Assigned: (Due March 3)
  • Section 11.1: 16, 23, 75
  • Section 11.2: 15, 41, 44, 67
  • Section 11.3: 8, 27, 35
  • Section 11.4: 20, 28, 31
• Practice:
  • Section 11.1: 11, 25, 41, 73
  • Section 11.2: 18, 22, 40, 59
  • Section 11.3: 11, 25, 26, 40
  • Section 11.4: 1, 19, 29, 32

Lectures 20-23 [Feb. 27-March 6] Assignment 6

• Assigned: (Due March 10)
  • Section 11.5: 2, 8, 17, 32
  • Section 11.6: 4, 10, 24, 37
  • Section 11.7: 10, 14, 26, 31
  • Section 11.8: 5, 7, 26, 30
• Practice:
  • Section 11.5: 4, 6, 19, 33
  • Section 11.6: 2, 7, 14, 23, 31
  • Section 11.7: 3, 5, 11, 13, 30
  • Section 11.8: 9, 14, 26, 31

Lectures 24-27 [March 7-14] Assignment 7

• Assigned: (Due March 24)
  • Section 11.9: 5, 8 ,15, 25, 39
  • Section 11.10: 11, 12, 14, 22, 31
  • Section 11.11: 6, 10, 17, 19
• Practice:
  • Section 11.9: 7, 13, 16, 27
  • Section 11.10: 4, 21, 23, 33
  • Section 11.11: 5, 15, 27

Lectures 29-31 [March 20-23] Assignment 8

• Assigned: (Due March 31)
  • Section 14.1: 9, 19, 28, 32, 36
  • Section 14.2: 13, 18, 26, 31, 40
  • Section 14.3: 12, 17, 20, 33, 47, 56
• Practice:
  • Section 14.1: 17, 22, 24, 42, 44, 49
  • Section 14.2: 17, 21, 25, 37
  • Section 14.3: 11, 15, 21, 28, 63, 76

Lectures 32-25 [Mar. 27-April 3] Assignment 9

• Assigned: (Due April 6) Note date!!!
  • Section 14.4: 6, 11, 25, 32
  • Section 14.5: 5, 12, 16, 24, 27
  • Section 14.6: 6, 9, 14, 23, 34
  • Section 14.7: 3, 10, 12, 41
• Practice:
  • Section 14.4: 1, 21, 27
  • Section 14.5: 3, 11, 15, 23
  • Section 14.6: 5, 7, 13, 21
  • Section 14.7: 5, 6, 11, 19

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Handouts

All class handouts are available as PDF files.

• Course Information
  Course handout from first day of class
• Midterm 1 Review Sheet
  Handout describing first midterm.
• Midterm 2 Review Sheet
  Handout describing second midterm.
  

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Grading Scheme

Your final mark is broken down as:

• Maximum among {WebAssign Average, Midterm grades, Final exam grade} = 10%
  
• Midterms (2 x 24%)= 48%
  
• Final Exam = 42%
  

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Important Dates

• Jan. 4, 2017 - Second semester begins
• Feb. 13, 2017 - Midterm 1
• Feb 20-26, 2017 - Midterm Break (No classes)
• Mar. 10, 2017 - Last day for cancelling courses without failure by default
• Mar. 16, 2017 - Midterm 2
• April 6, 2017 - Second semester ends
• April 14, 2017 - Good Friday (No classes/exams)
• April 11-27, 2017 - Final Exams

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Class Polices

1. Policy on Academic Ethics. You are expected to exhibit honesty and use ethical behaviour in all aspects of the learning process. Academic credentials you earn are rooted in principles of honesty and academic integrity.

Academic dishonesty is to knowingly act or fail to act in a way that results or could result in unearned academic credit or advantage. This behaviour can result in serious consequences, e.g. the grade of zero on an assignment, loss of credit with a notation on the transcript (notation reads: Grade of F assigned for academic dishonesty), and/or suspension or expulsion from the university.

It is your responsibility to understand what constitutes academic dishonesty. For information on the various types of academic dishonesty please refer to the Academic Integrity Policy, located at: http://www.mcmaster.ca/academicintegrity/

The following illustrates only three forms of academic dishonesty:

• plagiarism, e.g. the submission of work that is not one's own or for which other credit has been obtained.
• improper collaboration in group work,
• copying or using unauthorized aids in tests and examinations.

2. Policy regarding missed work. If you have missed work, it is your responsibility to take action. If you are absent from the university for medical and non-medical (personal) situations, lasting fewer than 3 days, you may report your absence, once per term, without documentation, using the McMaster Student Absence Form (MSAF). See Requests for Relief for Missed Academic Term Work

Absences for a longer duration or for other reasons must be reported to your Faculty/Program office, with documentation, and relief from term work may not necessarily be granted. In Math 1XX3, the percentages of the missed work will be transferred to the final examination. Please note that the MSAF may not be used for term work worth 25% or more, nor can it be used for the final examination.

3. Student Accessibility Services. Students who require academic accommodation must contact Student Accessibility Services (SAS) to make arrangements with a Program Coordinator. Academic accommodations must be arranged for each term of study. Student Accessibility Services can be contacted by phone 905-525-9140 ext. 28652 or e-mail sas@mcmaster.ca. For further information, consult McMaster University's Policy for Academic Accommodation of Students with Disabilities.

4. Important Message. The instructor and university reserve the right to modify elements of the course during the term. The university may change the dates and deadlines for any or all courses in extreme circumstances. If either type of modification becomes necessary, reasonable notice and communication with the students will be given with explanation and the opportunity to comment on changes. It is the responsibility of the student to check their McMaster email and course websites weekly during the term and to note any changes.

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