Math 1XX3 -- Calculus for Math and Stats II
(Winter 2016)

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: Th: 9:30-10:30, Fr: 1:00-2:00
Email: vantuyl@math.mcmaster.ca

Place and Time:

Class: TThF 8:30-9:20 in Hamilton Hall 109
Tutorial T01: M 2:30-3:20 in Hamilton Hall 305
Tutorial T02: M 1:30-2:20 in Hamilton Hall 305
Tutorial T03: Tu 10:30-11:30 in Hamilton Hall 305

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 1717 9581

News (Last Updated: April 8, 2016)

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

Here are Solutions to Midterm 1 Solutions to Midterm 2 [For midterm 2, your mark is out of 34, not 40] You can pick up your midterm from the Math Help Centre (in the basement of Hamilton Hall) whenever the centre is open from 3:30-5:30.

Final Exam Review Sessions A review sessions has been scheduled for the final exam. Here are the times and locations: Day: Friday, April 15 Room: BSB 136 Time: 3:30-5:30 Sam will also be in the Math Help Centre Wed 2:30-4:30 and Thurs. 2:30-6:30. In addition, I have made a Final Exam Review Sheet for the final.

Course evaulations are now open. You have from March 29 to April 11 to give your feedback on the course and instructor. Please go to: evals.mcmaster.ca

• April 8, 2016 Today was the last day of class! Besides some review questions, I described some of your future math courses in calculus.
• April 7, 2016 Today we looked at Section 14.8 on Lagrange Multipliers. You will notice on the review sheet that I will pick a question from Section 14.8 for the final exam.
• April 5, 2016 We finished Section 14.7. We focused on finding the absolute max and min value in a bounded area.
• April 1, 2016 We started the first of two lectures on Section 14.7 on max and min values. After today's class you should know Second Derivative Test.
• March 31, 2016 We finished up Section 14.6 on the directional derivative. In particular, you should know how to maximize the directional derivative, and what it means geometrically.
• March 29, 2016 Today we did directional derivatives (see Section 14.6). We will look at this section in more detail on Thursday.
• March 24, 2016 We looked at Section 14.5 on the chain rule for functions in multivariables. We also looked at a new way to do implicit differentiation.
• March 22, 2016 Today's topic was tangent planes and differentiability. See Section 14.4 for more.
• March 18, 2016 We went over the material of Section 14.3 on partial derivatives.
• March 17, 2016 Midterm II today.
• March 15, 2016 In today's class we looked at Section 14.2 on limits for functions with 2 or more variables.
• March 11, 2016 We started a new chapter on partial derivatives (Chapter 14). In today's class we looked at Section 14.1 on functions in several variables. You should know what we mean by the domain and range of such functions, and how to draw level curvers.
• March 10, 2016 Today's class was our last class on Chapter 11. We looked at Section 11.11 on further applications of Taylor Series.
• March 8, 2016 We finished looking at Section 11.10. I worked out some more examples. You should know what the binomial series is. As well, you should know the applications: a new way to compute integrals and a new way to compute limits.
• March 4, 2016 We started to look at Section 11.10. In particular, you should know what a Taylor series and Maclaurin series expansion is.
• March 3, 2016 We looked at Section 11.9 which discusses how to represent functions as power series.
• March 1, 2016 We focused on Section 11.8. I introduced power series and then notion of a radius of convergence and an interval of convergence.
• Feb. 26, 2016 I showed how the alternating harmonic series will converge to two different numbers! I also reviewed some of the tests we have talked about (see Section 11.7).
• Feb. 25, 2016 Today, we talked about the difference between absolute and conditional convergence. I also introduced the root and ratio tests. See Section 11.6 for more.
• Feb. 23, 2016 Welcome back from the Break! Today, we looked at the Alternating Series Test (see Section 11.5).
• Feb. 12, 2016 We looked at the comparison test and the limit test today (see Section 11.4). No class next week --- have a good break!
• Feb. 11, 2016 The first midterm was today.
• Feb. 9, 2016 Today we looked at Section 11.3 on how to use integration to test if a series converges or diverges. Also, we saw how to use integration to bound the error when using partial sums. Just a reminder that on Thursday, our midterm will be in T28. Bring our Student ID.
• Feb. 5, 2016 I introduced series in today's class (see Section 11.2). You should know what it means for a series to converge or diverge. As well, you should know what a geometric series is, what a telescoping sum is, and what the harmonic series is. In addition, you should know about the divergence test.
• Feb. 4, 2016 Today we started Chapter 11 which will look at sequences and series. In particular, today's class looked at the material of Section 11.1 on sequences.
• Feb. 2, 2016 We looked at Section 10.5 on the conic sections. You should know the formulas for the various curves.
• Jan. 29. 2016 We continued our discussion of Sections 10.3 and 10.4. In particular, we worked through more problems involving area and arclength for functions in polar coordinates.
• Jan. 28, 2016 Today we continued talking about doing calculus with polar coordinates. We looked at how to compute the area between to polar curves and the length of a polar curve. See Sections 10.3 and 10.4 for more detail.
• Jan. 26, 2016 We continued our discussion of polar coordinates today (see Sections 10.3 and 10.4). In particular, I talked about how to do calculus with polar coordinates (derivatives and areas).
• Jan. 22, 2016 Today I introduced polar coordinates. See Section 10.3. You should know the definitions and how to graph some simple graphs in polar coordinates.
• Jan. 21, 2016 To help reinforce the concepts we talked about during the last two days, I spent some talking about the cycloid, an example of a parametric curve with some special properties. This material came from Sections 10.1 and 10.2.
• Jan. 19, 2016 Today we discussed the material of Section 10.2 which describes how to do calculus with paratmetric curves. In particular, you should be able to find the derivative, the second derivative, the area under the curve, and the length of the curve.
• Jan. 15, 2016 We started Chapter 10 on Parametric Curves and Polar Coordinates. After today's class you should know what a parametric curve is, how to sketch them, and in some cases, rewrite them using a cartesisan equation. A reminder that HWA 1 is due tonight, and HWA 2 is based upon this week's work.
• Jan. 14, 2016 After today's class, you should know the approach to solve linear differential equations described in Section 9.5.
• Jan. 12, 2016 In today's class we looked at Section 9.4. In particular, we solved both the natural growth and the logistic model differential equations.
• Jan. 8, 2016 Today we did separable equations (see Section 9.3). You should know how to solve basic separable equations after today's class.
• Jan. 7, 2016 In today's class we went over the material of Section 9.2. After today's class, you should know how to draw and analyze directions fields for first order DEs. As well, you should know how to use Euler's Method to estimate values of first order DES.
• Jan. 5, 2016 Today was the first day of class. After today's class, you should know what a differential equation is, and what an initial value problem is. In addition, you should know how to verify that a function is a solution to a differential equation, know the DEs for some basic poplulation models.
• Jan. 4, 2016 Happy New Year! Tomorrow will be our first day of classes. Please note that the tutorials will not start until next week.
• November 19, 2015 Webpage setup. Please note that this website (and the information on it) will be in flux until the start of classes.

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Homework and Practice Assignments

Homework is given out every Friday, and will be due the following Friday 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 two tries (with details, if available).

Here is the key you will need to log into Webassign: mcmaster 1717 9581

Week 1 [Jan. 4-8]

• Assigned: (Due Jan 15)
  • Section 9.1: 4, 6, 8, 10
  • Section 9.2: 4, 6, 22, 28
  • Section 9.3: 4, 6, 22, 38
• Practice:
  • Section 9.1: 3, 7, 9, 13
  • Section 9.2: 3, 11, 21
  • Section 9.3: 1, 13, 39

Week 2 [Jan. 11-15]

• Assigned: (Due Jan 22)
  • Section 9.4: 4, 6, 12, 22
  • Section 9.5: 6,14, 16, 32
  • Section 10.1: 4, 10, 14, 22, 24
• Practice:
  • Section 9.4: 3, 7, 11, 21
  • Section 9.5: 9, 11, 17, 23
  • Section 10.1: 7, 15, 28

Week 3 [Jan. 18-22]

• Assigned: (Due Jan 29)
  • Section 10.2: 5, 11, 17, 25, 31, 32, 35, 42
  • Section 10.3: 5, 11, 19, 32, 37, 61
• Practice:
  • Section 10.2: 3, 13, 29, 38, 41
  • Section 10.3: 3, 12, 17, 31, 35, 42, 60

Week 4 [Jan. 25-29]

• Assigned: (Due Feb 5)
  • Section 10.4: 2, 10, 20, 32, 47
  • Section 10.5: 4, 14, 22, 40
• Practice:
  • Section 10.4: 5, 13, 21, 25, 26
  • Section 10.5: 1, 7, 11, 25

Week 5 [Feb. 1-5]

• No assignment -- study for Midterm 1. See MIDTERM 1 REVIEW SHEET

Week 6 [Feb. 8-12]

• Assigned: (Due Feb. 26)
  • Section 11.1: 16, 23, 42, 75
  • Section 11.2: 15, 17, 41, 44, 67
  • Section 11.3: 8, 24, 27, 35
  • Section 11.4: 2, 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

Reading Week [Feb. 15-19]

Week 7 [Feb. 22-26]

• Assigned: (Due March 4)
  • Section 11.5: 2, 8 ,17, 32, XP5
  • Section 11.6: 4, 10, 24, 28, 37
  • Section 11.7: 8, 10, 14, 26, 31
• Practice:
  • Section 11.5: 4, 6, 19, 33, XP2
  • Section 11.6: 2, 7, 14, 23, 31
  • Section 11.7: 3, 5, 11, 13, 30

Week 8 [Feb. 29-Mar. 4]

• Assigned: (Due March 11)
  • Section 11.8: 4, 10, 15, 24, 30
  • Section 11.9: 5, 8 ,15, 25, 39
  • Section 11.10: 11, 12, 14, 22, 31
• Practice:
  • Section 11.8: 5, 9, 14, 26, 31
  • Section 11.9: 7, 13, 16, 27
  • Section 11.10: 4, 21, 23, 33

Week 9 [Mar. 7- 11]

• No assignment - study for Midterm 2. See MIDTERM 2 REVIEW SHEET

Week 10 [Mar. 14-Mar. 18]

• Assigned: (Due March 28) Note date change because of EASTER
  • 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: 15, 22, 24, 42, 44
  • Section 14.2: 17, 21, 25, 37, XP9, XP19
  • Section 14.3: 11, 15, 21, 21, 28, 63, 76

Weeks 11-12 [Mar. 21-April 1] (Because of the Easter Break, the assignment will cover the material from these two weeks)

• Assigned: (Due April 8) Note date!
  • Section 14.4: 6, 11, 25, 32, 10XP
  • Section 14.5: 5, 7, 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, 11XP
  • 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.

Final Exam Review Sheet
Handout describing final exam.

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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, 2016
Second semester classes begin

Feb. 11, 2016
Midterm 1 in MCMST T28 001

Feb. 15-20, 2016
Reading Break (no classes)

Mar. 11, 2016
Last day for cancelling courses without failure by default

Mar. 17, 2016
Midterm 2 in MCMST T28 001

Mar. 25, 2016
Good Friday (no classes)

Apr. 8, 2016
Second semester ends

Apr. 16, 2016
Final Exam in IWC 1 at 12:30

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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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