MAT 151  Calculus with Applications

Suggested HW/Solutions

SUGGESTED HOMEWORK PROBLEMS  (Subject to Change)      
CHAPTERS EXERCISES APPLICATIONS AND MATHEMATICAL MODELING MORE CHALLENGING PROBLEMS Enrichment
         
CHAPTER 1:  FUNCTIONS        
1.1:  FUNCTIONS 1,3,5,7,9,(11-29)ODD,31,35,(43-49)ODD,51,57,65 67 89
1.2:  MATHEMATICAL MODELS 1,3,5,7,13,15,21,23 27,33 47,50,61,73  
1.3:  EXPONENTIAL MODELS 1,5,9,11,13,15,17,25,27,29,33,35,37 39,43,45 73,77,79
1.4:  COMBINATIONS OF FUNCTIONS 1,3,5,7,9,11,17,21,23,29,30,31 33 45
1.5:  LOGARITHMS (1-39)ODD,45,47 61 69
       
CHAPTER 3:  LIMITS AND THE DERIVATIVE        
3.1:  LIMITS 1-6,(7-13)ODD,15,17,(27-45)ODD     63,71,73,81
3.2:  RATES OF CHANGE 1,3,5,9,11,13,19,21,23,27,33,35,37 41,63
3.3:  THE DERIVATIVE (1-15)ODD,23,25 41
3.4:  LOCAL LINEARITY (1-29)ODD
       
CHAPTER 4:  RULES FOR THE DERIVATIVE        
4.1:  DERIVATIVES OF POWERS, EXP., AND SUMS (1-71) ODD 73 89,95
4.2:  DERIVATIVES OF PRODUCTS AND QUOTIENTS (1-31)ODD 33 51
4.3:  THE CHAIN RULE (1-35)ODD 41
4.4:  DERIVATIVES OF EXP AND LOG FUNCTIONS (1-61)ODD 63,65 71
4.5:  ELASTICITY OF DEMAND (1-11)ODD,13,17,21,23,25      
         
         
CHAPTER 5:  CURVE SKETCHING AND OPTIMIZATION        
5.1:  THE FIRST DERIVATIVE 1,3,5,7,9,11,13,15,17,19,22,31,33,35,45 49,51,57,65
5.2: THE SECOND DERIVATIVE (1-11)ODD,(21,23,(25-35)ODD,43 45,51,53 64
5.3:  LIMITS AT INFINITY (1-17)ODD 31,35
5.4:  ADDITIONAL CURVE SKETCHING 1,3,7,9,11,13,23,25,29,33 41
5.5:  ABSOLUTE EXTREMA (1-25)ODD,29,31,35 43,47
5.6: OTIMIZATION AND MODELING (1-17)ODD 23
 
CHAPTER 6:  INTEGRATION        
6.1:  ANTIDERIVATIVES (1-37)ODD 39,41,45,47
6.2:  SUBSTITUTION (1-33)ODD 35,37 49
6.3:  ESTIMATING DISTANCE TRAVELED 1,3,7, (Review Interactive Illustrations) 17,21
6.4:  THE DEFINITE INTEGRAL 1,3,9,17,19,23,25,29,33,37,41,43,47
6.5:  THE FUNDAMENTAL THEOREM OF CALCULUS (1-37)ODD 55
6.6:  AREA BETWEEN TWO CURVES   (1-31)Every other ODD problem,41 43,45  

Extra Practice Problems with Solutions:                 Handouts/ect.:              Summer Session I notes                                                                                             

Basic Derivatives (section 4.1)                                                       Exam IV Schedule

Product Rule and Quotient Rule (section 4.2)                                 Sections 6.1/ 6.2 Handout solutions

Chain Rule (section 4.3)                                                                Section 6.5 Handout (updated)

Logarithmic and Exponential Functions (section 4.4)                        u-Substitution (solve for dx method)

*Exponential Functions                                                                 Solutions to problems 1 and 5 (Sec. 6.6)

*Logarithmic Functions                                                                  Exam IV Review Problems

Problems similar to section 5.4 in current text.                      Practice Final Exam Solutions    

Problems similar to section 6.2 in current text.                     E.C. Assignment /  E.C. Solutions

Fall 2006 PRACTICE FINAL EXAM SOLUTIONS