Syllabus: Calculus I -- Math 2054

3 hours lecture, 1 credit hour lab (one 150-minute session/week)

Prerequisites: Math 1813 or ACT score of 25 or Calculus in High School

Instructor: Bob Yarbrough, MNS

Office: room 403 Office Hours: TBA

Phone: Office: 878-5193

Home: 275-3314

Email: Office: bwyarbrough@sgc.edu

Home: yarbi@ionet.net

Web Page Personal: www.oocities.org/heartland/3153

Course description from official bulletin:

Designed to prepare students in programs which require calculus. The course will be comprised of both lectures and laboratories. It will allow students to study functions of a real variable, in both theory and applications, in several different settings. Major components include: (discrete and continuous) relations and functions, rates of change, initial value problems, differential calculus and its uses, Euler's method, and periodic motion.

Purpose of the course:

The course and its methods of instruction have been chosen (a) to introduce the student to the

wide variety of applications of calculus in many disciplines and everyday uses; (b) to prepare students to continue their studies in mathematics-related disciplines; (c) to attract students to study mathematics as a career choice; (d) to illustrate the interaction of technique/technology and theory in the study of mathematics; and (e) to demonstrate the interdisciplinary nature of mathematics through the reading of research topics and writing of reports.

Required Materials:

Calculus: Preliminary Edition, Decker and Varberg, Prentice Hall, Inc.

One 3½" floppy disk and lap-top computer or graphing calculator

 

Goals and Objectives:

Students will:

1. Use a problem-solving approach to set up, estimate solutions to, and solve problems from everyday life including problems relating to business, science and geometrical shapes.

2. Have a firm conceptual grasp of limit, continuity and differentiation and at least an introductory knowledge of integration.

3. Know how to use calculators and computer software to assist them in solving many types of problems.

4. Use graphing calculators or graphing software on laptops to better understand the nature of functions and in problem solving.

5. Use algebra, trigonometry and other mathematical tools to model and solve problems.

 

 

 

Methods of Student Evaluation:

Text assignments are to be read before the next class. The designated questions are to be handed in at the beginning of class. Responses to "Concepts review" questions and other material from the reading will be the basis for class discussion and the class participation grade.

total

class participation: 100 points 100

8 Labs @ 25 points 200

homework: 200 points 200

individual projects 100

2 tests @ 100 200

Final @ 200 200

 

TOTAL 1000

 

Grades

A 90% of total

B 80% of total

C 70% of total

D 60% of total

 

 

Outline of Course:

Text/workbook and lab materials on the following materials:

Functions and limits 4 weeks

Numerical and graphical techniques 3 weeks

Derivatives 4 weeks

Applications of derivatives 3 weeks

Antiderivatives and differential equations 2 weeks

 

 

Outline of Course:

To Read

Due Next Class

Lab

Work

Date

Section

for next

Date

Lab

1/14

0.0 & 0.1

1-17

9:27-29,31,33; 17:14-16,18,19

1/16

0.2 & 0.3

18-25

25: 1,9,13,19,22-24,28,29

1/19

0.4

27-35

35: (1,2)(c,f,I,l),3,7,9,13,14,20

1/21

0.5

39: 2,6-9,11,13,15,16,19,21

1/23

1.1

41-48

48: 1-37 odd,39-41,45-48

1/26

1.2

52-57

58: 1,2,(3-55)odd,56,58,59

1/28

1.3

60-67

67: 1-9,12-19,27,29

1/30

1.4

70-76

77: 1-4,8-11,14,18-20

2/2

1.5

78-84

84: 1,3,5,6,(9-43)odd,44,46,47,53,56

2/4

1.6

86: (1-11)odd,12,13,15,17-19,21,23,24

2/6

2.1 & 2.2

89-105

97: 3-6; 105: 1,3,5

2/9

2.3

106-111

112: 1,3a,4a,5-7

2/11

2.4

115-121

121: 2,4,6,8

2/13

2.5

124-132

133: 1,3,5,7

2/16

2.6

133-138

138: 1,3,5,7

2/18

2.7

139-147

147: 1,2,4 + determine types of curves

2/20

2.8

148: 3,5-9,11

2/23

review

2/25

TEST 1

2/27

3.1

151-157

158: (1-29)odd,35-41(odd)

3/2

3.2

161-169

169: (3-45)/3,47,49,51-54,57,58

3/4

3.3

171-178

179: (1-21)odd,23-25,28,30,31

3/6

3.4

180-185

186: (3-45)/3,47,51,54

3/9

3.5

187-193

194: (1-19)odd,20-23,(29-35)odd,39,41,43

3/11

worksheet

3/13

3.6

196-203

203: (1-23)odd

3/23

3.7

205-211

212: (2-14)even,15,17,18,20,23,28

3/25

3.8

214: 1-10,14-25

3/27

review

3/30

TEST 2

4/1

4.1

217-225

226: (2-20)even,24-26,28,29,31,35

4/3

4.2

220-239

239: (19-27)odd,30-38(even),42

4/6

4.3

240-245

245: (3-15)/3,17-19,21-25

4/8

4.4

248-256

256: 2,4,5,7,8,(13-19)odd,25,28-30

4/15

4.5

259-263

264:1-4,6,8,9,13,18-22

4/17

4.6

265-271

272: (3-12)/3,13,16,18

4/20

4.7

273-277

277: (1-15)odd,16,20-22

4/22

Newton’s Method Worksheet

4/24

4.8

279: (3-18)/3,19-21,25-28

4/27

5.1

281-287

287: (3-42)/3,47

4/29

5.2

289-294

294: (17-25)odd,29,36

5/1

426-431

432: 1-12, Euler’s Method: worksheet

5/4

review

346: 2,7,8,11-14

5/6

review

5/8

make-up day

TEST 3

Final