Spring 2008

 

University of Colorado at Colorado Springs

Math 104 Section 5

Calculus for Business and Economics

3:05 pm – 4:20 pm

Tuesday and Thursday

Room: COB 317

 

Instructor: Virginia Ramos

 

Office: Engr 289           Phone: 262-3869         E-mail: vramos@uccs.edu

Website: http://web.uccs.edu/vramos                 Home phone: 635-9385

Office hours: Tuesday & Thursday 2:30 pm – 2:50 pm, in Columbine open computer lab on second floor and after class 4:20pm – 5pm in the computer lab, or by appointment.

 

Textbook: College Algebra Essentials, Blitzer, 2nd Edition

 

Grade: Homework (no late homework will be accepted) will count towards no more than 15% of the final grade.  Chapter tests will be worth 25% each, there will be two.  A comprehensive final exam will be worth at least 35% of the final grade.

 

Make-upTests: Unless arrangements have been made before a scheduled exam, no make-up exams will be allowed.  The University Counseling and Testing Center (MH 324, 262-3265) is handling make-up exams and arrangements must be made through this office after I have agreed that a make-up exam is appropriate.

 

Students with disabilities are to provide their letters of certification and accommodation within the first two weeks of class.

 

If you are a military student with the potential of being called to military service and /or training during the course of the semester, you are encouraged to contact your UCCS course instructor no later than the first week of class to discuss the class attendance policy.  Please see the Military Students website for more information:  http://www.uccs.edu/~military/.

 

Important Dates:

February 6                   Drop the course and receive 100% tuition refund.

April 2              Last day to drop without special permission of the dean.

 

May 15 Thursday      1:40 pm – 4:10 pm      Note the final exam will start earlier than the usual class time.

                       

Class Schedule and Homework Assignments


This schedule may be adjusted as necessary.

 

P.2-P.3

Exponents-cover rules of exponents (skip Sci. Notation)

Radicals and Rational Exponents-cover roots and fractional powers

P.2 #7,17,19,25,31,41,45,48,51,57,58,59
P.3 #1,3,5,7,9,13,18,25,28,35,41,45,49, 55,56,57,59,66,83,85,86,87,95

January 22

P.4-P.6

Polynomials- degree, +, - multiplication of binomial and binomial and binomial and trinomial

Factoring- greatest  common factor, FOIL backwards, difference of squares, sum and difference of cubes (briefly!)

Rationals- never have 0 in denominator, factor and cancel, multiplication, division, addition and subtraction, complex rationals

P.4 #5,11,13,17,18,21,24,27,29,31,41,48,61,75,77
P.5 #5,7,17,21,25,29,35,39,41,49,57,59,65,69,74,81,83
P.6 #1,11,17,20,25,30,31,41,45,46,49,53,57

January 24 & 29

 

Quiz on Chapter P- for students who don’t have the skills necessary for Math 104, please consider taking Math 090 (through extended studies) or take a more extensive Pre-Algebra type course at PPCC

January 31

1.1-1.3

Graphs- Cartesian coordinate system, x-axis, y-axis, origin, quadrants, ordered pair, plot solutions, absolute value, x-intercept, y-intercept

Linears- solving

Rationals- solving

Models

1.1 #5,7,14,15,23,41,43,73-76

1.2 #7,13,14,15,19,22,27,33,40,41,45,69,71,73,76
1.3 #5,23,25,26,29,37,40,51

February 5 and February 7

1.4

Complex Numbers-define i, define complex number, +, -, multiply, conjugate, divide, square roots of negatives

1.4 #3,5,9,10,13,16,19,21,24,28,31,35,37

February 12

1.5

Quadratics- What is it? Solve by factoring (include zero product principle), square root property (briefly), quadratic equation (include properties of the discriminant). The Pythagorean Theorem will also be covered. 

Won’t cover solving by completing the square.

1.5 #1,3,5,6,7,9,10,15,21,65,69,71,75,77,83-87,137,139

February 14

1.6

Other Types of Equations- factoring (spend most time here), radical on one side, 2 radicals, fractional powers, quadratic form, absolute value

1.6 #1,3,4,5,9,10,11,19,23,25,31,33,41,55,63,64,73

February 19

1.7

Inequalities- <,> signs, interval notation, set builder notation, number lines, solving linear inequalities, compound inequalities

1.7 #5,11,17,19,29,33,41,48,51,55,65,71

February 21

2.1-2.2

Functions- relations, function definition, domain, range, function notation, piecewise functions, increasing, decreasing, constant, relative extrema.  Skip even and odd and the difference quotient.

2.1 #5,9,29,29,37,55,57,59,61,63,79,82,89
2.2 #23,29,40,41,63

February 26

2.3-2.4

Linear Functions and Slope- slope, slope intercept, point slope, standard form, horizontal line, vertical line, parallel lines, perpendicular lines, slope as average rate of change

2.3 #5,9,17,18,25,26,27,33,37,41,57
2.4 #1,7,11,15,20,27,33

February 28

5.1

Systems of Linear Equations- consistent, inconsistent, dependent, Addition Method, Substitution method

5.1 #5,9,12,15,19,23,24,31,33,36

March 4

 

Review for Test

March 6

 

Test on Chapter 1-2.4, 5.1

March 11

2.5

Transformations- vertical, horizontal shifts, stretches and compressions, reflections

2.5 #17,19,21,23,25,27,29,31,53,57,61,68,81,85,87

March 13

2.6-2.7

Combinations, Composite, Inverse

2.6 #9,11,19,27,33,36,53,56,60,67,69

2.7 #3,9,15,20,23,29,31,33,39

March 18

2.8

Distance, Midpoint, Circles- cover completing the square

2.8 #3,13,23,27,33,37,41,47,49,52,55

March 20

3.1

Quadratics- vertex formula, completing the square, x and y intercepts, maximum and minimum values

3.1 #5,6,11,13,14,17,25,29,31,33,65,69

April 1

3.2

Polynomials- Definition, degree, smooth and continuous, leading coefficient test, number of peaks and valleys, finding x intercepts and multiplicity

3.2 #1,7,9,11,13,19,23,25,29,41a-c,e,43a-c,e,57a-c,e

April 3

3.3-3.4

Dividing polynomials, Zeros of Polynomials- Division, Synthetic division, Remainder Theorem, Fundamental Theorem of Algebra, Finding all zeros, conjugate pair theorem

3.3 #6,13,17,21,33
3.4 #3,7,9,11,15,17,21,27(only 1st sentence),29(only 1st sentence), 42,43,54

April 8

3.5

Rationals- Vertical asymptotes, horizontal asymptotes (which you can cross!), sketching

3.5 #3,5,23,29,31,33,49,54,63

April 10

3.6

Polynomial and Rational Inequalities- Temporarily set =0, find undefined, draw number line, choose test points

3.6 #5,15,29,31,38,43,49

April 15

4.1

Exponentials- what is it, graphs, interest , e

4.1 #25,27,33,53,56,61

April 17

4.2

Logarithms- Evaluating, logarithmic form, graphs, domain

4.2 #1,3,5,7,9,11,13,15,17,19,21,25,29,31,33,37,41,59, 61,75,77,81,83,85,87,89,91,94

April 22

 

Review for test

April 24

 

Test on Chapter 2.5-4.2

April 29

4.3

Properties of Logs

4.3 #3,5,9,13,15,21,25,28,29,35,37,41,47,51,55,61,65,69

May 1

4.4

Exponential and Logarithmic Equations

4.4 #3,5,17,21,23,29,33,45,49,51,55,59,63,67,71,79,80,85

May 6

4.5

Exponential Growth and Decay

4.5 #1,3,5,9,19

May 8

 

Comprehensive final exam

1:40 pm to 4:10 pm

May 15

 

 

 

 

 

UCCS Department of Mathematics
University of Colorado
Colorado Springs, CO 80933-7150
(719) 262-3311 (office)
(719) 262-3605 (fax)

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