Exercises and assignments for MATH 122

January 9, Monday
In class. Policy distributed; 1.1: Representation of functions through formulas, graphs, tables and words; Lecture notes;
1.2: Linear functions - interpretation of slope and y-intercept, equation of a line, tabular data; Lecture notes;
Read. 1.1: Text; 1.2: Example 1,2,3,4;
Homework. 1.1: 3,5,7,19,21,25; Solutions 1.2: 3,7,15,17,25,27; Solutions.

January 11, Wednesday
In class. 1.2: Linear functions - interpretation of slope and y-intercept, equation of a line, tabular data; problems 25,27; Lecture notes;
1.3: Rate of change - increasing and decreasing functions, concave up and concave down functions, rate of change and its relation to the properties of being increasing, decreasing, concave up, and concave down; problems 7,26,30; Lecture notes;
Read. 1.2: Examples 2,3,4; 1.3: Examples 4,5,6;
Homework. 1.2: 3,7,15,17,25,27; Solutions; 1.3: 1-4,5,11,17,29; Solutions;
Expect a quiz on 1.2 and 1.3 on Wednesday, January 18.
January 16, Monday
Dr. Martin Luther King, Jr. Service Day - no class.

January 18, Wednesday
In class. 1.4: Applications to Economics - cost, revenue, profit and depreciation functions; problems 4,2,8,14; Lecture notes; Solution of Quiz 1;
Read. 1.4: Examples 1-6;
Homework. 1.4: 3,5,7,9,13,15; Solutions;
Expect a quiz on 1.4 on Monday, January 23.
January 23, Monday
In class. 1.5: Exponential functions; Lecture notes;
Read. 1.5: Examples 1,2,3;
Homework. 1.5: 1,3,5,7,11,15; Solutions.

January 25, Wednesday
In class. 1.6: The natural logarithm; Lecture notes; Solution of Quiz 2;
Read. 1.6: Examples 1,2,3,4;
Homework. 1.6: 1,3,5,9,11,17,23,27,31,41; Solutions.
January 30, Monday
In class. 1.7: Examples of exponential functions; Lecture notes;
Read. 1.7: Example 1,2,4,5,6,7,8;
Homework. 1.7: 1,5,9,11,23,29,33,35; Solutions;
Expect a quiz on 1.5-1.7 on Wednesday, February 1.

February 1, Wednesday
In class. 1.8: New function from old; Lecture notes; 1.9: Proportionality, power functions and polynomials; Lecture notes; Quiz 3;
Read. 1.8: Example 1,2, Stretches and shifts of graphs,5; 1.9: Examples: 1,2,4;
Homework. 1.8: 1,9,11,13,15,17; Solutions;
Do not forget to bring your calculators. You will need them.
February 6, Monday
In class. Fitting functions to data, pg. 75-79; Lecture notes and instructions for regression on TI-83;
Read. 1.8: Text (pg. 75-79), skip example 1;
Homework. pg.79: 3, pg.81: 11,15, pg.82: 17; Solutions.
To prepare for the coming test please use this review guide;
Expect a quiz on 1.8 and the section on regression (pg. 75-79) on Wednesday, February 8.
Bring your calculators. Print and bring a copy of the instructions for regression on TI-83.

February 8, Wednesday
Solution of Quiz 4;
Review all homework problems from 1.1-1.8 and the section on fitting functions to data, pg. 75-79.
Bring your calculators. Print and bring a copy of the instructions for regression on TI-83.
February 13, Monday
Test 1; Solution.

February 15, Wednesday
In class. 2.1: Instantaneous rate of change; 2.2: The derivative function; Lecture notes;
Read. 2.1: Examples 3,5; 2.2: Example 3;
Homework. 2.1: 3,5,13; 2.2: 1,3,4,7-12,13,18-25,28; Solutions.
February 20, Monday
In class. 2.3: Interpretations of the derivative, units of the derivative, using the derivative to estimate values of a function - local linear approximation; Lecture notes; 2.4: Second derivative; Lecture notes;
Read. 2.3: Examples 2,3,4,5,6,7; 2.4: Example 1;
Homework. 2.3: 1,3,13,17,19,23; Solutions; 2.4: 1,3,5,7-11,19,23; Solutions;
Solution of Quiz 5.

February 22, Wednesday
In class. 2.5: Marginal cost and marginal revenue; Lecture notes;
Read. 2.5: Examples 1,2,3,4,5;
Homework. 2.5: 5,7,11,13; Solutions;
Expect a quiz on 2.3-2.5 on Monday, February 27.
February 27, Monday
In class. Expect a quiz on 2.3-2.5; 3.1: Derivative formulas for powers functions and polynomials; Lecture notes;
3.2: Derivative formulas for exponential and logarithmic functions; Lecture notes;
Read. 3.1: Examples 1,2,3,4,5,7; 3.2: Examples 1,2,4;
Homework. 3.1: 1-23 (odd numbers only), 27,29,33,39,41,42,43,45,47; Solutions;
3.2: 1-21 (odd numbers only), 23,31; Solutions;
Solution of Quiz 6.

March 1, Wednesday
In class. 3.3: Derivatives: the chain rule; Lecture notes; 3.4: Derivatives: the product and the quotient rules; Lecture notes;
Read. 3.4: Examples 1,2,4;
Homework. 3.3: 1-29 (odd numbers only); 3.4: 1-27 (odd numbers only), 32;
Solution of Quiz 7.
March 6, Monday
Spring break - no class.

March 8, Wednesday
Spring break - no class.
March 13, Monday
In class. 3.3: Derivatives: the chain rule; Lecture notes;
3.4: Derivatives: the product and the quotient rules; Lecture notes;
Read. 3.4: Examples 1,2,4;
Homework. 3.3: 1-29 (odd numbers only); Solutions; 3.4: 1-27 (odd numbers only), 32; Solutions.

March 15, Wednesday
In class. 4.1: Local minima and maxima; Lecture notes;
Read. 4.1: Examples 2,3,4,5;
Homework. 4.1: 5,9,17, additional problems; Solutions;
Solution of Quiz 8.
March 20, Monday
In class. 4.2: Inflection points; Lecture notes;
Read. 4.2: Examples 1,2,4;
Homework. 4.2: 1,3,7,9,11,13,23,27,29; Solutions;
Expect a quiz on 4.1 and 4.2 on Wednesday, March 22. You may want to bring a calculator.

March 22, Wednesday
In class. 4.3: Global minima and maxima; Lecture notes;
Read. 4.3: Examples 1,2;
Homework. 4.3: 3,5,7,9,11,13; Solutions;
Solution of Quiz 9;
Expect a quiz on 4.1-4.3 on Monday, March 27. You may want to bring a calculator.
March 27, Monday
In class. 4.4: Maximizing profit, revenue and cost; Lecture notes;
Read. 4.4: Examples 1,2,3,4;
Homework. 4.4: 3,5,9,13,14,17; Solutions.
The take-home quiz is due on Wednesday, March 29, at the beginning of the class. Quizzes turned in late might not be accepted.

March 29, Wednesday
Solution of Quiz 10;
A good way to prepare for the test is to cover all past homework assignments and quizzes on chapters 2-4. As additional exercise you can practice the following review problems:
Chapter 2, p.124-127: 2,7-12,13,15,19,26; Solutions;
Chapter 3, p.163: 1,3,5,7,11,21,31,33,36,37,41,46,53,57,59; Solutions;
Chapter 4, p.213-217: 1,2,3,4,7,8,9-12,14,17,18,19,31,33,35; Solutions.
Be aware that the above problems do not constitute a complete coverage of the test material. They are to be used only in addition to the homework assignments and not as a substitute.
April 3, Monday
Test 2; Solution.

April 5, Wednesday
In class. 5.1: Definite integral of function given in tabular form; Lecture notes;
5.2: Definite integral of function given by graph or formula; Lecture notes;
5.3: Definite integral as area; Lecture notes;
Instructions for computing definite integrals with TI-83;
Read. 5.1: Examples 2,3; 5.2: Examples 1,2,3,4; 5.3: Examples 1,2,3,4,5,6;
Homework. 5.1: 1,3,11,13; Solutions; 5.2: 1,3-6,7,9,11,15-23; Solutions; 5.3: 1,5-8,9,11,13,15,17,27,29; Solutions;
A take-home quiz has been handed out. It is due on Monday, April 10, at the beginning of the class. Solution of Quiz 11.
Expect a quiz on 5.1-5.3 on Monday, April 10. Bring a calculator.
April 10, Monday
In class. 5.4: Interpretations of the definite integrals; Lecture notes;
5.5: The fundamental theorem of Calculus; Lecture notes;
Read. 5.4: Examples 1,2,3; 5.5: Examples 1,2;
Homework. 5.4: 1,3,5,15; Solutions; 5.5: 1,5,7,8,9-11; Solutions;
Review problems, p. 246-249: 1,3,4,5-10,11,12,13,14,15,16,17,19,20,21,23,24,25,29,30; Solutions;
Expect a quiz on 5.4-5.5 on Wednesday, April 12. Bring a calculator.
Solution of Quiz 12.

April 12, Wednesday
In class. 7.1: Indefinite integrals, i.e., antiderivative; Lecture notes; 7.2: Integration by substitution; Lecture notes;
Read. 7.1: Examples 1,2,3; 7.2: Examples 1,2,3,4;
Homework. 7.1: 1-15,19-23,25-43,55,57 (odd numbers only); Solutions; 7.2: 1-15,19,21,25-37 (odd numbers only); Solutions;
Expect a quiz on 7.1-7.2 on Monday, April 17. Bring a calculator.
Solution of Quiz 13.
April 17, Monday
In class. 7.2: Integration by substitution; Lecture notes; 7.3: Using indefinite integrals to compute definite integrals; Lecture notes;
Read. 7.2: Examples 1,2,3,4; 7.3: Examples 1,2,3,4;
Homework. 7.2: 1-15,19,21,25-37 (odd numbers only); Solutions; 7.3: 1-15 (odd numbers only),23,25,29,31,33; Solutions.
Bring a calculator.
Solution of Quiz 14.

April 19, Wednesday
Regarding Test 2, it is probably a good idea to add up the points you have got on each individual problem and see if that sum matches the total on the front page. If you discover a discrepancy, please, let me know as soon as you can.
In class. Review of chapters 5 and 7.
Solution of Quiz 15.
April 24, Monday
Revised list of homework problems from chapters 1, 2, 3, and 4.
Additional problems.

May 2, Tuesday
Review session: Monday, May 1, from 6:00 p.m. at Sumwalt, rm 206.
Final exam - 2:00 p.m., LC 113