Math 2010 - Calculus I

• The Unofficial Final Grades are Ready! Click the link below to see them. Math 2010 Grades (Unofficial) If you see any errors, please let me know. Have a good break! Adam.

• For Thursday's lecture (Nov. 27) please go to ERES and download last year's exam. We will go over it in class.
• Important Notice: The Learning Assistance Centre will be offering a workshop for Math 2010
  Tuesday December 2, 2003
  1:30-3:30PM
  RB 1042
• Nov. 24, 2003 In Monday's lecture I looked at Sections 6.2 and 6.3 on the need for the definite integral.
• Nov. 23, 2003 Start Studying! I have just posted the Review Sheet for the final exam to the web.
• Nov. 19, 2003 We began Chapter 6 with a look at Section 6.1 on series.
• Nov. 18, 2003 I introduced the technique of integration via substitution. This is the material of Section 5.3. I also gave out the next (and last!) homework assignment.
• Nov. 17, 2003 In Monday's lecture I looked at Section 5.2 which looked at the ideas of acceleration, velocity and displacement from the point of view of integration. I also handed back the second midterm.
• Nov. 13, 2003 In Thursday's lecture, I intorduced the idea of a anti-derivative. This material is Section 5.1. You need to know everything from this section.
• Nov. 12, 2003 During Wednesday's class, we looked at Section 4.11, and then started on Section 5.1.
• Nov. 10, 2003 On Monday, we looked at Section 4.10 on L'Hopital's Rule. There was a slight mix up on the HWA. You should do question 33 of Section 4.6, not question 23. Sorry!
• Nov. 6, 2003 Test 2 was held today.
• Nov. 5, 2003 We continued our discussion on related rates. I also handed out the new homework.
• Nov. 3, 2003 In Monday's class I quickly covered the material of Section 4.7 on velocity and acceleration. I then started on Section 4.8 on related rates. We will continue to do more questions on related rates on Wednesday.
• Oct. 30, 2003 In Thursday's class I talked about finding the absolute maximums and minimums of a function. This is the material of Section 4.6.
• Oct. 29, 2003 In Wednesday's class I finished Section 4.5 on curve sketching. The next test (which is on the 6th) will cover up to this material. A handout describing the next test was given out. You can download it by scolling to the bottom of this page.
• Oct. 27, 2003 During Monday's class I introduced the notion of concavity, and I covered the material of Section 4.4. I also started looking at Section 4.5 on graph sketching.
• Oct. 23, 2003 In Thursday's class we covered section 4.3 on relative max and min.
• Oct. 22, 2003 In today's class we saw how to use the derivative to determine if a function is increasing and decreasing. This is the material of section 4.2. The new homework assignment was also given out.
• Oct. 20, 2003 Today I introduced Newton's method -- a process by which derivatives can be used to find roots of functions. This material was Section 4.1.
• Oct. 16, 2003 We finished Chapter 3 today with a discussion on the Mean Value Theorem. The midterms were also returned.
• Oct. 15, 2003 We covered two sections today -- Section 3.10 and 3.11. You should now know how to differentiate log and exponetial functions, and how to use logarithmic differentiation. A new homework assignment was also given out.
• Oct. 8, 2003 Midterm 1 today!
• Oct. 7, 2003 We learned the rules for trig differentiation. A new homework assignment was given out (see below).
• Oct. 6, 2003 In class we went over section 3.8 on implicit differentiation.
• Oct. 2, 2003 On Thursday I gave our first application of calculus -- it's relation to velocity and acceleration. This is the material of Section 3.6. The test next week Thursday will cover all the material up to today's class.
• Oct. 1, 2003 In class we went over section 3.7 on the chain rule. After introducing the chain rule, we did a series of examples that involve the chain rule. Please note that there is no homework for this week because of the test next week. However, if you want to practice, I suggest you look at the even problems in Section 3.4 and Section 3.7.
• Sept. 29, 2003 In class we covered sections 3.4 and 3.5. You should know how to use the product and quotient rule, and how to take higher order derivatives. A study sheet for the first midterm has been posted to the web (see the bottom of this page).
• Sept. 25, 2003 In class we discussed the connection between continuity and differentiation.
• Sept. 24, 2003 In Wednesday's class, we went over some basic rules for taking the derivative. The main rule was the power rule. You should know how to do questions that we did in class. In the lab, I reviewed the exponential and logarithm functions.
• Sept. 22, 2003 In class, we introduced the idea of a derivative (Section 3.1) as a special type of limit. You should be able to calculate derivatives of the functions similar to ones done in class using the limit definition.
• Sept. 18, 2003 In Thursday's class we finished Chapter 2.5. I gave the formal definition of limit, plus an example of how to prove a limit using this definition. You should know that such a definition exists, but in most cases, our informal approach will work.
• Sept. 17, 2003 During the lab, I gave a quick review of trig functions and definitions. In the class, I introduced the idea of a function being continuous at a point. You should be able to identify the discontinuities of a graph. As well, I introduced the Heaviside functions, and explained how they can be used as "switches". The new homework assignment was also given out (see below).
• Sept. 15, 2003 On Monday, we covered Sections 2.2 and 2.3. Know how to calculate a limit as x approaches a discontinuity, or as x approaches infinity.
• Sept. 12, 2003 On Thursday, we covered Section 2.1. You should know the informal definition of a limit, and how to calculate some simple limits.
• Sept. 11, 2003 In Wednesday's class, we looked at the sections on the parabola, the circle, functions, and polynomials (Sections 1.1 - 1.3). The first homework assignment was also given out.
• Sept. 9, 2003 In Monday's class, I introduced the course, and I gave a short review on lines. We covered the material of Section 1.1. Our class will now be in UC 2011, the upper lecture hall.
• Sept. 8, 2003 First day of class.
• Aug 12, 2003 The webpage is set up -- less than one month until classes begin.

Note. If you wish to hand in an assignment early, please put it under my door. Thanks! A.

Assignments

• Assignment 1 (Due Sept. 18)
  • Section 1.1 -- 15, 17, 21, 29, 39, 45
  • Section 1.2A -- 21, 23
  • Section 1.2B -- 13
  • Section 1.3 -- 1, 3, 5
• Assignment 2 (Due Sept. 25)
  • Section 2.1 -- 3, 7, 13, 17, 21, 29, 39, 47
  • Section 2.2 -- 3, 7, 15, 27
  • Section 2.3 -- 5, 9, 11, 15, 31, 33, 41
  • Section 2.4 -- 1, 5, 27 (don't graph these questions -- just list discontinuities) and 31
• Assignment 3 (Due Oct. 2)
  • Section 3.1 -- 3, 9, 16, 21, 31
  • Section 3.2 -- 11, 13, 15, 17, 21, 27 (no graph needed)
  • Section 3.3 -- 1, 5, 11, 13
• Assignment 4 (Due Oct. 16)
  • Section 3.8 -- 1, 7, 11, 13, 15
  • Section 3.9 -- 1, 7, 13, 19, 25, 29, 31
• Assignment 5 (Due Oct. 23)
  • Section 3.10 -- 3, 11, 17, 19, 27, 29
  • Section 3.11 -- 3, 7, 11, 17, 23
  • Section 3.12 -- 3, 7, 9
• Assignment 6 (Due Oct. 30)
  • Section 4.1 -- 3, 9 (find two roots besides x = 0)
  • Section 4.2 -- 3, 11, 17, 23, 29
  • Section 4.3 -- 1, 5, 21, 35 (do not graph these questions) Bonus: 43
• Assignment 7 (Due Nov. 13)
  • Section 4.6 -- 5, 13, 22, 33
  • Section 4.7 -- 9
  • Section 4.8 -- 1, 7 (make sure your units agree)
• Assignment 8 (Due Nov. 20)
  • Section 4.10 -- 5, 13, 15, 19, 27, 35
  • Section 4.11 -- 3, 5, 9
  • Section 5.1 -- 3, 13, 17, 21, 33, 35, 37, 55
• Assignment 9 (Due Nov. 27)
  • Section 5.2 -- 5, 7, 17
  • Section 5.3 -- 3, 7, 11, 15, 27, 29
  • Section 6.1 -- 3, 7, 13, 17

Solutions can be downloaded from ERES, the e-Reserve from the the library.

Grading Scheme

Your grade will be based upon three components: homework, two tests, and one final exam. Details of these components are given below.

1. Homework (10%) A homework assignment will be given out every Wednesday. It will be due on the following Thursday at the end of class. There will be 9 homework assignments. The homework assignment with the lowest grade will not be counted. Homework should always be stapled to together. Also, it must be legible enough so that it can be read. Failure to do either of these two things will result in 5 points deducted from the assignment. Homework will have 5 points deducted for every day (the weekend is counted as one day) that it is late. Homework can be handed in early by either giving it to me or by placing it under my office door. Furthermore, every assignment should contain: the course number, the assignment number, your name, and your student ID number.

2. Two Tests (25% each) There will be two tests during the semester. The dates of these tests will be (subject to change):
   • October 9, 2002 - Test 1
   • November 6, 2002 - Test 2

   I will explain in more detail what I expect on these exams before these dates. Also, I will make an hour long test, but give you one and half hour to complete the test. Please note that no calculator will be allowed, so please train yourselves to do this while doing your assignments.

3. Final Exam (40%) There will be a final exam in December that will be cumulative. The exact dates will be given later. Again, no calculator will be allowed.

Important Dates

• Sept. 8, 2003 - First semester classes begin
• Oct. 13, 2003 - Thanksgiving (no classes)
• Nov. 3, 2003 - Last day to withdraw without penalty
• Dec. 1, 2003 - First semester classes end

Any course handouts will also be posted to the web. These documents will be PDF documents.

• Course Handout A description of the course for the first day of class.
• Midterm 1 Handout A handout that describes the material covered in the first test.
• Midterm 2 Handout A handout that describes the material covered in the second test.
• Final Exam Handout A handout that describes the material covered on the final exam.

Adam Van Tuyl
URL: http://flash.lakeheadu.ca/~avantuyl/coures/2003_fall_math2010.html
avantuyl@sleet.lakeheadu.ca