Prof. Vladimir Dobrushkin
Department of Mathematics
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Course Calendar and Syllabus for MTH 111, Summer 2012

The following calendar gives a timetable for the course. Your class may be slightly behind or ahead at any given time. Below the calendar is a list of topics with suggested readings and problems, learning outcomes, and on-line material. Make sure you attend the class regularly to keep pace with the course. The listed problems may be done in class or homework. Your instructor will be more specific. You should attempt them all. Starred problems may be more challenging. (Note: In the problem lists, a notation like 3-9 means that all the problems 3,4,5,6,7,8,9 are assigned. A notation like" 3-9 odd" means that problems 3,5,7,9 are assigned.)

Day  Topic  Day Topic 
June 26 1,2,3 July 17  16,17
June 28 4,5 July 19 18,19,20
July 3 6,7   July 24 22,23
July 5 8,9,10  July 26 Final Exam
July 10 11, 12    
July 12 13,14,15    

Note: If a link to an on-line item has a * , the item requires the Quicktime plugin (and a fast internet connection).  You can get the plug-in for free by following the directions on the course Technology Page.  For readings and problems,  JIT=J=Just-In-Time,  FP=F=Fundamentals of Precalculus .  Click on to see the learning outcomes and other guidance for this topic.  


Topic/Outcomes Readings Problems Online
1. Self-assessment, Introduction
and Advice  
     
2. Real Numbers and Arithmetic
(Especially Fractions)
JITp. 1-9,22-23

FPp.2-6
Jp.3/1-9odd
Jp.6/1-13odd,Jp.23/2-5, 
Jp.9/5-15odd
Fp.10/1-4,9-14,59.60
Common denominators
Simplifying quotients    
Simplify quotient tutorial
Reciprocals
3. Exponents, Sci. Notation JITp.10-15,19-20 Jp.12/1-15odd,19,21, 16
Jp.15/5-25odd,26-29,31-33
Jp.20/1,3,4,6
Radicals(tutorial)
Radicals(quiz)
Radicals and powers(quiz)
4. Simple Inequalities and Absolute Value  FP. p. 11-18 Fp.19/9-19odd,31,33,41
44-53.55-65odd,69
                                     
5. The Coordinate Plane, Distances,
Midpoints, Graphs of Equations, Completing
the square, Circles
FPp. 21-27

JITp.25-28
Fp.30/11-27odd, 31-43odd

Jp.28/1,5,7
Distance,midpoints,circles 
Completing the square(video)*
    
Completing the square(puzzle)
6. Linear Equations and Inequalities, Lines FPp.27-30,33-41

JITp.31-34,53-59
Fp.31/61-69odd
Fp.42/1,7,19-23odd,29-37odd,44,
55,59,61-64
Jp.35/6,7,10-13,19
Using slider applets
Equations of linear functions       
7. Functions and Graphs JITp. 47-51,89-92

FPp.43-52
Jp.51/1,3,7-9,11; Jp.94/1,2,5,7,16

Fp.53/1,6,8-16,41-42,45,46,
59-67odd,73-79odd,85
Evaluating functions     
Is it the graph of a function     
Mystery of the graph*   
8. Graphing and Transforming  Functions JITp. 61-70
FPp.61-64, 67-77
Jp. 64/10,11; Jp.69/3-6; Jp.71/1-3
Fp.65/33-41odd, 51-61odd
Fp. 78/17-23odd,29,33,51,53,59,65
Transformations of functions  
Using slider applets
      
9. Algebra of Functions FPp. 79-85 Fp.86/1-11odd,21-27odd,41-48,55-64  
10. Inverses FPp.88-94
JITp.147-155
Fp. 94/1-4, 19-22,35,39-55odd
Jp.152/1,3,8 p.155/1,3,5
Composing functions (video)*
Decomposing functions (video)*
Decomposing functions(tutorial)
Composing functions(quiz)
Composing/decomposing(quiz)
Inverse functions(video)*
Inverse functions I (quiz)
Inverse functions II (quiz)
11.Quadratic Functions, Complex Numbers FPp.107-113, 115-116,120-121
Fp.114/3,7-17odd,21,23,25,37,39,47,
49,57,59,65,69,77
Fp.122/73,79,83,87

Solving quadratics
Complex numbers and  quadratics
Complex number quiz                           
12. Polynomials FPp.122-123,126-127, 133-134,404-406
JITp.81-83
Fp.401/13,23,25,31,32,57,60,65,66
Fp.131/3,5,6,31,33; p.138/3,7;
Jp.83/2,3,7,9
Pulling out common factors      
Factoring
Factoring puzzle
Dividing polynomials(video)*
 
Long division
Polynomial division puzzle
13. Polynomial Functions FPp.149-154,157 Fp.158/5-13odd,17,24,25,
31-39odd,41-48
Polynomial zeros
14. Rational Functions FPp.160-166,168-170 Fp.171/3,9,15,17,19,20,27,29,
33,37,51-56,63,65,71
Graphs of rational functions 
Asymptotes(puzzle)
15. Exponential Functions FPp. 285-296 Fp. 295/13-18, 21,23,25,31, 35-45odd, 69,
73,75,76
 
16. Logarithmic Functions FPp.296-304
JITp.156-162
Fp.305/1-9odd, 17,18,21,27,33-49odd, 53,65,77,79; Jp.158/12-21; Jp.162/5,6,9 Definition of Logarithms I(tutorial)
Definition of Logarithms II(tutorial)
17. Logarithm Properties FPp.306-313
JITp. 163-168
Fp. 313/3,4,7,8,11,13,27,29,31,35,41,42,49
51,53, 57, 58, 71; Jp.165/1,3; Jp.168/11
Properties of Logarithms I(tutorial)
Properties of Logarithms II(tutorial)
Properties of Logarithms (quiz I)
Properties of Logarithms(quiz II)  
Matching Logarithmic Expressions(puzzle)
18. Log and Exp Equations FP. 314-318 Fp.321/3,11,15,25,27,31,32,55,57,59 Exponential Equations(puzzle)
Logarithmic Equations(puzzle)
Exponential and Logarithmic Equations(quiz)
19. Angles FPp.181-189
JITp. 96-98
Fp.190/1-19odd,35-47odd,65-77odd,83-89odd Degrees to radians
20. Sin and Cos FPp. 191-197
JITp. 99-107
Fp.198/1-39odd, 49, 50,67-71odd
Jp.104/3-6, p.108/3-11odd
Trig functions and quadrants
21. Graphing Sin and Cos FPp. 199-201
JITp. 108-112
Fp. 211/1-4,25-33odd,37-42,63-65

Graphs of sin, cos and tan

Transformed trig functions with slider applets

Graphs of trig functions (quiz)


22. Other Trig Functions FPp.213-222 Fp. 223/3-17odd,52.55.59,67,69,75             
23. Inverse Trig Functions FPp. 224-232
JITp.169-173,179-180
Fp. 232/1-33 odd, 38,41, 65, 67, 68, 71-73,81, 82, 87; Jp. 181/1abd,3ac,4a
                            
24. Trig Identities FPp. 242-245
JITp.136-140
Fp. 250/1-9, 15-18, 25,26, 31-33, 39-41,
35-37, 39-41,47-50,59; Jp.140/ 1,2,6,8,9
  
25. Trigonometry JITp. 130-135 Jp. 132/1,3,7,9; Jp. 135/1-4  
      Exponential decay example
Exponential Growth example  
Exponential Growth and Decay(quiz)
Finding the Mummy's Age(video)*
       
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