Department of Mathematics and statistics

Mathematics 62-101, Section 02, Access to Calculus

FALL 2004

　

 Announcements

Sept 10: Class begins. Welcome.

Sept 11: Lecture 1 is posted. Please see "Lectures" part below to download. Homework 1 is assigned, see "Homework" part.

Sept 13:  Lecture 2 is posted. Homework for today's lecture is assigned.
Sept 15: Homework for today's lecture is assigned.
Sept 17: Lecture 3 is posted. Tutorial 1 question is posted.  Extra Material: Brief introduction to Tangent Problem.
Sept 21: Lecture 4 is posted. Also homework is assigned.

Sept 22:  Homework is assigned.

Sept 23:  Lecture 5 is posted. 

　

　

Test 1 will be held on next Monday Sept 27 during the class. This test will cover Lecture 1--Lecture 5.  For review, please see:  Lecture notes, Tutorial 1 and Tutorial 2 questions and solutions. Also please see  Review and Preview to Chapter 1, Section 1.1, 1.2, 1.3, 1.4. in textbook.

Work hard!! Good Luck!!

Sept 24:  Tutorial 1 and Tutorial 2 solutions are posted. 

Sept 29:  Lecture 6 is posted and homework for Wednesday's lecture was assigned .　

Oct 1:  Homework for Friday's lecture was assigned .　

Oct 2:  Lecture 7 is posted .
Oct 5:  Lecture 8 is posted .　Test 1 Solutions is posted. Homework for Monday's class is assigned.
Oct 7: Lecture 9 is posted.
Oct 12: Tutorial 3 solutions is posted.

　

Test 2 will be held on this friday (October 15) during the class. This test will cover Lecture 6--Lecture 10.  For review, please see:  Lecture notes, Homework, Tutorial 3 questions and solutions. Also please see  Review and Preview to Chapter 2, Section 2.1, 2.2, 2.3, 2.4. 2.5 and 2.6 in textbook.

Work hard!! Good Luck!!

　

Oct 14:  Lecture 10 is posted . Homework for today's class is assigned.

Oct 18:  Lecture 11 is posted . Homework for today's class is assigned.

Oct 20:  Test 2 Solutions is posted . Homework for today's class is assigned.

Oct 22:  Lecture 12 is posted.
 Oct 25:  Homework for today's class is assigned. Lecture 13 is posted.

Oct 27:  Tutorial 4 solutions is posted. Homework for today's class is assigned. Lecture 14 is posted.

Nov 01:  Tutorial 5 questions and solutions are posted. Homework for today's class is assigned.
Nov 02:  Lecture 15 is posted.

Test 3 will be held on this friday (November 05) during the class. This test will cover Lecture 11--Lecture 16.  For review, please see:  Lecture notes, Homework, Tutorial 4 and 5 questions and solutions. Also please see  Section 2.6, 2.7, 2.8, 3.1. 3.2, 3.3, 3.4,  4.1, 4.2 and 4.3 in textbook. 

Work hard!! Good Luck!!

Nov 05:  Homework for Wednesday's class was posted.
Nov 09:  Homework for Monday's class was posted.
Nov 12:  Homework for Wednesday's class was posted.  Lecture 16, 17 and 18 are posted.  Test 3 Solutions is posted also.
If you missed today's tutorial, please download from below and work on your own.

Nov 16: Lecture 19 is posted.  Homework for Monday's class was posted.
Nov 19: Homework for Wednesday's class was posted. Tutorial 6 Solutions, Tutorial 7 Questions and Solutions are posted. Lecture 20 is posted.
Nov 23: Lecture 21 is posted.  Homework for Monday's class was posted.

Test 4 will be held on this friday (November 26) during the class. This test will cover Lecture 16--Lecture 21.  For review, please see:  Lecture notes, Homework, Tutorial 6 and 7 questions and solutions. Also please see  Section  4.4, 4.5, 5.3, 5.4, 5.5, 7.1, 7.2 and 7.3 in textbook.
Main Topics in these Lectures:
1.) Applied Maximum and Minimum Problems
2.) Second Derivative Test
3.) Concavity and points of inflection
4.) Curve Sketching
5.) Limits of Trigonometric Functions
6.) Derivatives of Trigonometric Functions

Work hard!! Good Luck!!

Nov 26: Lecture 22 is posted. Homework for Wednesday's class was posted.

Nov 29: Lecture 23 is posted. Homework for Monday's class was posted.
 Dec 2:  Homework for Wednesday's class was posted. Test 4 Solutions was posted.
Dec 3: Tutorial 8 questions is posted.

Dec 5: Lecture 24 is posted.

Dec 6: Homework for Monday's class is posted.

Dec 6: Lecture 25 is posted.

Dec 7: Tutorial 8 Solutions are posted.

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You can find your term marks here: Tutorial Marks,   Test Marks

The final exam is held in St.Denis Centre December 21, 12:00-3:00pm
Good Luck.

Here you can find unofficial final grade: Final Grade

 
 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
Sept 17 Tutorial 1 　Tutorial 1 Solutions
Sept 24 Tutorial 2 　Tutorial 2 Solutions
Sept 27 Test 1 　Test 1 Solutions
Oct 8 Tutorial 3 　Tutorial 3 Solutions
Oct 15 Test 2 　Test 2 Solutions
Oct 22 Tutorial 4   Tutorial 4 Solutions
Oct 29 Tutorial 5 　Tutorial 5 Solutions
Nov 5 Test 3 　Test 3 Solutions
Nov 12 Tutorial 6 　Tutorial 6 Solutions
Nov 19 Tutorial 7 　Tutorial 7 Solutions
Nov 26 Test 4 　Test 4 Solutions
Dec 3 Tutorial 8 　Tutorial 8 Solutions

 
 
 Lectures

　

See here a running list of topics covered in class.
Date
Lecture and Tutorial
Topic
Reading
Sept 10 Lecture 1

Introduction to the course. Factoring

Review and Preview to Chapter 1, pp2-3
Sept 13 Lecture 2

The factor theorem. Rationalizing. Functions and graphs of functions. The slope of a straight line.

Review and Preview to Chapter 1, pp3-4.

Section 1.1. pp5-7
Sept 15 Lecture 3

The Tangent problem. The limit of a function

Section 1.1, 1.2 pp7--15　
Sept 17 Tutorial 1

　

　
Sept 20 Lecture 4

Continuity at a point. One-sided limits.

Section 1.2, 1.3 　
Sept 22 Lecture 5

Continuity. Using limits to find tangents

Section 1.3, 1.4
Sept 24 Tutorial 2

　

　
Sept 27 Test 1

Test 1 will cover Lecture1---Lecture 5

Review and Preview to Chapter 1. Section 1.1--1.4　
Sept 29 Lecture 6

Using Limits to find tangents. Velocity and other rates of changes. Domain of functions. Composition of functions

 Section 1.4, 1.5 Review and Preview to Chapter 2.
Oct 1 Lecture 7

Derivative of function.

Section 2.1
Oct 4 Lecture 8

Other notations. Differentiable functions. Differentiation Rules I.　

Section 2.1 and 2.2.　
Oct 6 Lecture 9

Sum Rule. Difference Rule. Product Rule　

Section 2.3, 2.4　
Oct 8 Tutorial 3

　

　
Oct 13 Lecture 10

Quotient Rule. Chain Rule.　

Section 2.5, 2.6　
Oct 15 Test 2

Test 2 will cover Lecture 6---Lecture 10

 Review and Preview to Chapter 2. Section 2.1--2.6
Oct 18 Lecture 11

Chain Rule. Implicit Differentiation　

 Section 2.6, 2.7
Oct 20 Lecture 12

Higher Derivatives. Velocity　

Section 2.8, 3.1
Oct 22 Tutorial 4

　

　
Oct 25 Lecture 13

 Acceleration. Applications of Derivatives

Section 3.1, 3.2, 3.3, 3.4　
Oct 27 Lecture 14

Interval Notations. Inequalities. Increasing and decreasing functions

Section 4.1
Oct 29 Tutorial 5

　

　
Nov 1 Lecture 15

Maximum and minimum Values. The First Derivative Test　

Section 4.2 4.3

Nov 3 Lecture 16

The First Derivative Test.Applied Maximum and Minimum Problems　

Section 4.3, 4.4　
Nov 5 Test 3

　

　
Nov 8 Lecture 17

Extreme values Problems in Economics　

Section 4.4, 4.5　
Nov 10 Lecture 18

Concavity and Points of Inflection. Second Derivative Test.　

Section 5.3, 5.4　
Nov 12 Tutorial 6

　

　
Nov 15 Lecture 19

Second Derivative Test for Local Extreme Values. Curve Sketching.

Section 5.4, 5.5
Nov 17 Lecture 20

Limits of Trigonometric Functions. Derivative of Sine and Cosine functions.　

Section 7.1, 7.2
Nov 19 Tutorial 7

　

　
Nov 22 Lecture 21

Derivatives of Trigonometric Functions　

Section 7.2, 7.3　
Nov 24 Lecture 22

Laws of Exponents. Logarithms and Laws of Logarithms. Exponential Functions

Review and Preview to Chapter 8.

Section 8.1
Nov 26 Test 4

　

　
Nov 29 Lecture 23

Derivatives of Exponential Functions. Logarithmic Functions　

Section 8.2, 8.3　　
Dec 1 Lecture 24

Logarithmic Functions. Change of Base  Formula　

Section 8.3　
Dec 3 Tutorial 8

　

　
Dec 6 Lecture 25

Derivatives of Logarithmic Functions and General Exponential Functions

Section 8.4　
Dec 8 Lecture 26

Review Lecture　

　

 
 
 
Homework

Selected Exercises From The Text.
 
Week
Homework
Week 0.5 (Sept 11)

pp3. Exercise 1. Q1. (a)(c)(e)(g) Q2.(a)(c)(e)(g)
Week 1 (Sept 13-Sept 17)

pp3  Q3 (a)(d) Q4. (b)(e) pp4 Q1(b)(d)(f) Q2 (b)(d) pp9 Q1 (a)(d)(f) Q3, Q4 Q7


pp9  Q3, Q4 Q7 pp19 Q2 (a)(d)(f) Q3 (b)(d)(f)(h) Q4(b)(f)(h) Q5 (a)(c)(e) Q6 (a)(c)(e)(i)
Week 2 (Sept 20-Sept 24)

pp20  Q12, pp27 Q3  pp28 Q4 (a)(c)(e)(i) Q6, Q7, Q8, Q9　
pp29 Q 13

pp29 Q 10(a)(c) pp35 Q2, Q3, Q5, Q6, Q7, Q8
Week 3 (Sept 27-Oct 1)

pp43 Q3,Q6 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)
Week 4 (Oct 4-Oct 8)

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　

pp88 Q1 (a)(c)(e)(i)(k) Q2 (a)(c) Q3 (a)(c) Q6, Q10
pp 92 Q1 (a)(c)(e)(g) Q2 (a)(c)(e)(g) Q3 (a)(c)(f) Q4 Q5, Q7,Q8
Week 5 (Oct 11-Oct 15)

pp95 Q1 (a)(c)(e)(f)(i)(k) Q2 (a)(c)(e) Q3 (a)(c) Q 4, Q6, Q8
pp102 Q1 (a)(c)(e)(g)(i)(k) Q2,  Q3, Q5, Q6 (a)(c)(e)(g)(i)(l)(n)
Week 6 (Oct 18-Oct 22) 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
Week 7 (Oct 25-Oct 29)

pp125 Q5,Q8
pp129 Q3, Q4, Q6, Q8

pp133 Q2, Q4, Q6
pp139 Q2, Q4, Q6　

pp163 Q1 (a)(c)(e)(g),  Q2 (a)(c)(e)
pp166 Q1 (a)(c)(e)(g)(i)(k)(m),  Q2 (a)(c)
pp170 Q2 (a)(c)(e), Q3 (a)(c),  Q4 (a)(c)(e)(g), Q5
Week 8 (Nov 1-Nov 5)

pp177 Q2(a)(c)(e)(g), Q3(a)(c)(e)(g)(i)(k),Q4(a)(c)(e)(g)(i) Q5, Q7 
pp182 Q1(a)(c), Q2(a)(c)(e), Q3(a)(c)

pp188 Q1, Q3, Q5, Q6, Q7

　
Week 9 (Nov 8-Nov 12)

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.

pp229 Q2(a)(c)(e)(g)(i)(k), Q3, Q4, Q6.
pp232 Q1(a)(c)(e)(g)(i), Q2(a)(c)(e), Q3(a)(c).
Week 10 (Nov 15-Nov 19)

pp232 Q1(a)(c)(e)(g)(i), Q2(a)(c)(e), Q3(a)(c).
pp240 Q1, Q2, Q4　

pp245 Q3(a)(b), Q4(a)(b),Q5(a)(b), pp247 Q4
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 (Nov 22-Nov 26)

pp313 Q3(a)(c)(e), Q7, Q9, Q11(a)(c)
pp319 Q1(a)(c)(e)(g)(i)(k)(m)(o), Q2(a)(c)(e), Q3(a)(c), Q4, Q5(a), Q6, Q7, Q9, Q13. 　
　

pp350 Q1, Q2,  Q3(a)(c)(e)(g)(i)(k)
pp352 Q1(a)(c)(e)(g), Q2(a)(c)(e)(g), Q3(a)(c)(e)(g), Q4(a)(c)(e)(g). 　

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 (Nov 29-Dec 3) 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 (Dec 6-Dec 8)

pp383 Q1(a)(c)(e)(g)(i)(k)(m), Q2, Q3(a)(c),　Q4(a)(c), Q5(a)(c), Q6, Q7

　

　

Q6, Q7(a)(c)(e), Q10(a)(c), Q11, Q12
 Week 13 (Dec 6-Dec 8)

pp383 Q1(a)(c)(e)(g)(i)(k)(m), Q2, Q3(a)(c),　Q4(a)(c), Q5(a)(c), Q6, Q7