Department of Mathematics and statistics
Mathematics 62-101,
Section 30, Access to Calculus
Winter 2005
| Announcements |
Jan 11: Class begins. Welcome.Jan 13: Homework 1 is assigned, see "Homework" part.
Test 1 will be held on this thursday (Feb 3) during the class. This test will cover Lecture 1--Lecture 7. For review, please see: Lecture notes, Homework, Tutorial 1, 2, 3 questions and solutions, text book: Review and Preview to Chapter 1, Section , 1.1, 1.2, 1.3, 1.4, 1.5, Review and Preview to Chapter 2, Section 2.1.
Jan 14: Tutorial 1 questions are posted.
Jan 18: Homework for today's lecture is assigned.
Jan 21: Tutorial 2 questions are posted.
Jan 21: Homework for today's lecture is assigned.
Jan 26: Homework for today's lecture is assigned.
Jan 27: Assignment is posted.
Feb 3: Homework for this week's lectures are posted.
Feb 10: Homework for this week's lectures are posted.
Feb 17: Homework for this week's lectures are posted.
Feb 25: Homework for this week's lectures are posted. Tutorial 5 and 6 questions are posted.
Mar 12: Homework for this week's lectures are posted. Tutorial 7 questions are posted.
Mar 17: Homework for this week's lectures are posted. Tutorial 8 questions are posted.
Test 2 will be held on this thursday (March 24) during the class. This test will cover Lecture 8--Lecture 18. For review, please see: Lecture notes, Homework, Tutorial 4, 5, 6, 7, 8 questions and solutions, text book: Chapter 2, Section 2.2--2.8, Chapter 3, Section 3.1--3.4, Chapter 4, Section 4.1--4.5
Mar 22: Homework is posted.
Mar 29: Homework is posted.
Apr 5: Homework is posted.
Apr 13: Homework is posted.
Test 2 solutions are posted.
You can find your tentative final marks here
If you have any questions about your marks or want to look at your final exam paper, come to see me in my office on next Monday or Tuesday 2:00pm-4:00pm.
| Course Information |
Please see course Syllabus.
| Handouts |
In the following, you will find the handouts of this course. I try to make the tutorial and test questions and solutions available as soon as possible. (Unfortunately, this is often not until shortly after each tutorial.)
|
Date |
Questions |
Solutions |
| Jan 13 | Tutorial 1 | Tutorial 1 Solutions |
| Jan 20 | Tutorial 2 | Tutorial 2 Solutions |
| Jan 27 | Tutorial 3 | Tutorial 3 Solutions |
| Feb 1 | Assignment 1 | Assignment
1 Solutions |
| Feb 3 | Test 1 | Test 1 Solutions |
| Feb 10 | Tutorial 4 | Tutorial 4 Solutions |
| Feb 17 | Tutorial 5 | Tutorial 5 Solutions |
| Feb 24 | Tutorial 6 | Tutorial 6 Solutions |
| Mar 10 | Tutorial 7 | Tutorial 7 Solutions |
| Mar 17 | Tutorial 8 | Tutorial 8 Solutions |
| Mar 22 | Assignment 2 | Assignment 2 Solutions |
| Mar 24 | Test 2 | Test 2 Solutions |
| Mar 31 | Tutorial 9 | Tutorial 9 Solutions |
| Apr 7 | Tutorial 10 | Tutorial 10 Solutions |
| Lectures |
|
Date |
Lecture and Tutorial |
Topic |
Reading |
| Jan 11 | Lecture 1 | Introduction to the course. Factoring.The factor theorem. Rationalizing. | Review and
Preview to Chapter 1 |
| Jan 13 | Lecture 2 | Functions and graphs of functions. The slope of a straight line. | Section 1.1. pp5-7 |
| Tutorial 1 | |||
| Jan 18 | Lecture 3 | The Tangent problem. The limit of a function | Section 1.1 and 1.2 |
| Jan 20 | Lecture 4 | The limit of a function. One-sided limits |
Section 1.2 and 1.3 |
| Tutorial 2 | |||
| Jan 25 | Lecture 5 | One-sided limits. Continunity.Using limits to
find tangents. |
Section 1.3 and 1.4 |
| Jan 27 | Lecture 6 | Rates of change |
Section 1.4 and 1.5 |
| Tutorial 3 | |||
| Feb 1 | Lecture 7 | Domain of functions. Composition of functions. Derivative of function. | Review and Preview to Chapter 2 and Section 2.1 |
| Assignment 1 Due | |||
| Feb 3 | Lecture 8 | Other notations. Differentiation Rules I. | Section 2.1 and 2.2. |
| Test 1 | |||
| Feb 8 | Lecture 9 | Differentiation Rules II:Sum Rule. Difference Rule. Product Rule. Quotient Rule. | Section 2.3, 2.4 and 2.5. |
| Feb 10 | Lecture 10 | Chain Rule. | Section 2.6 |
| Tutorial 4 | |||
| Feb 15 | Lecture 11 | Implicit Differentiation.Higher Derivatives. | Section 2.7, 2.8 |
| Feb 17 | Lecture 12 | Velocity | Section 3.1 |
| Tutorial 5 | |||
| Feb 22 | Lecture 13 | Acceleration. Applications of Derivatives | Section 3.2, 3.3, 3.4 |
| Feb 24 | Lecture 14 | Interval Notations. Inequalities. | Review and Preview to Chapter 4 |
| Tutorial 6 | |||
| Mar 8 | Lecture 15 | Increasing and decreasing functions.Maximum and minimum Values. | Section 4.1, 4.2 |
| Mar 10 | Lecture 16 | The First Derivative Test | Section 4.3 |
| Tutorial 7 | |||
| Mar 15 | Lecture 17 | Applied Maximum and Minimum Problems.Extreme values Problems in Economics | Section 4.4, 4.5 |
| Mar 17 | Lecture 18 | Extreme values Problems in Economics. Concavity and Points of Inflection. | Section 4.5, 5.3 |
| Tutorial 8 | |||
| Mar 22 | Lecture 19 | Second Derivative Test for Local Extreme Values. Curve Sketching. | Section 5.4, 5.5 |
| Assignment 2 Due | |||
| Mar 24 | Lecture 20 | Limits of Trigonometric Functions. Derivative of Sine and Cosine functions. | Section 7.1, 7.2 |
| Test 2 | |||
| Mar 29 | Lecture 21 | Derivatives of Trigonometric Functions | Section 7.2, 7.3 |
| Mar 31 | Lecture 22 | Laws of Exponents. Logarithms and Laws of Logarithms. Exponential Functions |
Review and Preview to Chapter 8. Section 8.1 |
| Tutorial 9 | |||
| Apr 5 | Lecture 23 | Derivatives of Exponential Functions. Logarithmic Functions | Section 8.2, 8.3 |
| Apr 7 | Lecture 24 | Logarithmic Functions. Change of Base Formula | Section 8.3 |
| Tutorial 10 | |||
| Apr 12 | Lecture 25 | Derivatives of Logarithmic Functions and General Exponential Functions | Section 8.4 |
| Apr 14 | Lecture 26 | Review |
| Homework |
Selected
Exercises From The Text.
|
|
|
| Week 1(Jan 10-Jan 14) |
pp3. Exercise 1. Q1. (a)(c)(e)(g) Q2.(a)(c)(e)(g) Q3 (a)(d) Q4. (b)(e) pp4 Q1(b)(d)(f) Q2 (b)(d) pp9 Q1 (a)(d)(f) Q3, Q4 Q7, |
| Week 2(Jan 17-21) |
pp19 Q2 (a)(d)(f) Q3 (b)(d)(f)(h) Q4(b)(f)(h) Q5 (a)(c)(e) Q6 (a)(c)(e)(i) pp20 Q9, Q12 |
| pp27
Q3 pp28 Q4 (a)(c)(e)(i)
Q6, Q7, Q8, Q9 |
|
| Week 3(Jan 24-28) |
pp29 Q 13 pp29
Q 10(a)(c) pp35 Q2, Q3, Q5, Q6, Q7, Q8 |
| pp43 Q3,Q6 | |
| Week 4(Jan31 -Feb 4) |
pp66. Q1 (a)(c)(e)(g) (i)(k)(j)(l)pp67 Q1(a)(c)(e)(g) Q2. pp75 Q1 (b)(c)(d)(f) Q2, Q4, Q5, Q7, Q8(a)(c) pp76 Q11 (b)(c) Q12 (c)(d) |
| pp83 Q1 (a)(c)(e)(g)(i) Q2 (a)(c)(e)(g)(i) Q3 (a)(c)(e) Q4 (a) Q5 Q7 | |
| Week 5(Feb 7-Feb11) |
pp88
Q1 (a)(c)(e)(i)(k) Q2 (a)(c) Q3 (a)(c) Q6, Q10 |
|
pp95
Q1 (a)(c)(e)(f)(i)(k) Q2 (a)(c)(e) Q3 (a)(c) Q 4, Q6, Q8 |
|
| Week 6(Feb 14-Feb18) | pp 107 Q1 (a)(c)(e)(h) Q2
(a)(c)(e) Q3 (b)(d) Q4, Q6, Q9 pp 111 Q1 (a)(c)(e)(g) Q2 (b)(d) Q3, Q5, Q6, Q7 (a)(b). Q8 pp 125 Q2, Q4, Q5, Q8 |
|
pp129 Q3, Q4, Q6, Q8 pp133 Q2, Q4, Q6 |
|
| Week 7(Feb 21-Feb25) | pp163
Q1 (a)(c)(e)(g), Q2 (a)(c)(e) pp166 Q1 (a)(c)(e)(g)(i)(k)(m), Q2 (a)(c) |
| Week 8(Mar 7-Mar
11) |
pp170 Q2 (a)(c)(e),
Q3 (a)(c), Q4 (a)(c)(e)(g), Q5 pp177 Q2(a)(c)(e)(g), Q3(a)(c)(e)(g)(i)(k),Q4(a)(c)(e)(g)(i) Q5, Q7 |
| Week 9(Mar 14-Mar 18) |
pp182 Q1(a)(c),
Q2(a)(c)(e), Q3(a)(c) pp188 Q1, Q3, Q5, Q6, Q7
|
| pp188
Q9, Q11, Q13, Q16 pp195 Q1, Q3, Q4, Q6, pp196 Q1(a)(c)(e), Q2(a)(c), Q3(a)(c), Q4, Q5, Q6, Q8, Q10 pp199 Q1, Q2, Q3, Q4, Q5, Q6. |
|
| Week 10(Mar 21-Mar 25) |
pp229
Q2(a)(c)(e)(g)(i)(k), Q3, Q4, Q6. |
| pp306
Q7, Q9, Q10, Q11, Q13, Q15, Q17, Q19, Q21, Q22, Q24, Q25, Q31,
Q33, Q40 pp313 Q1(a)(c)(e)(g)(i)(k)(m)(o)(q)(s)(u) , Q2(a)(c)(e). |
|
| Week 11(Mar 28-Apr 1) |
pp313 Q3(a)(c)(e), Q7, Q9, Q11(a)(c) |
|
pp350 Q1, Q2, Q3(a)(c)(e)(g)(i)(k) pp354 Q1(a)(c)(e)(g)(i), Q2(a)(c)(e), Q3(a)(c)(e) pp361 Q1(c), Q2(a)(c)(e)(g), Q4(a)(c)(e)(g). |
|
| Week 12(Apr 4-Apr 8) | pp366 Q1(a)(c)(e), Q4(a)(c)(e)(g)(i)(k), Q5, Q6, Q7, Q8, Q9 pp375 Q2(a)(c)(e), Q3(a)(c)(e)(f) Q4(a)(c)(e)(g), Q5(a)(c), Q6, Q7(a)(c)(e), Q10(a)(c), Q11, Q12 |
| Week 13(Apr 11-Apr 15) |
pp383 Q1(a)(c)(e)(g)(i)(k)(m), Q2, Q3(a)(c), Q4(a)(c), Q5(a)(c), Q6, Q7 |