Prerequisites:
Math 75 with a grade of C or better (or math placement)

Chapter 4, The Exponential and Natural Logarithm Functions
We will briefly cover the material in Chapter 4 on the exponential function, e^x, and the natural logarithm function, ln x.  These two functions have certain useful properties which you'll need to know.  In particular: the derivative of e^x is e^x, and the derivative of ln x is 1/x.  Also make sure you're aware of the additional properties of exponents and logarithms,which can be found on p. 232 and p. 255 (respectively).
 
 

Chapter 6, The Definite Integral		Chapter 7, Functions of Several Variables
Section 1	Antidifferentiation	Section 1	Examples of Functions of Several Variables
Section 2	Areas and Riemann Sums	Section 2	Partial Derivatives
Section 3	Definite Integrals and the Fundamental Theorem	Section 3	Maxima and Minima of Functions of Several Variables
Section 4	Areas in the xy-plane	Section 4	Lagrange Multipliers and Constrained Optimization
Section 5	Applications of the Definite Integral	Section 5	The Method of Least Squares
		Section 6	Double Integrals

 

Chapter 8, The Trigonometric Functions Section 1 Radian Measure of Angles Section 2 The Sine and the Cosine Section 3 Differentiation of sin(t) and cos(t) Section 4 The Tangent and Other Trigonometric Functions

Chapter 9, Techniques of Integration Section 1 Integration by Substitution Section 2 Integration by Parts Section 3 Evaluation of Definite Integrals Section 4 Approximation of Definite Integrals Section 5 Some Applications of the Integral Section 6 Improper Integrals

 

Chapter 10, Differential Equations   Section 1 Solutions of Differential Equations Section 2 Separation of Variables Section 3 Numerical Solution of Differential Equations Section 4 Qualitative Theory of Differential Equations Section 5 Applications of Differential Equations

Grading:
Your semester grade will be determined by five tests -- one at the end of each chapter, except for chapter 4 -- and a comprehensive final exam. Each chapter test will be worth 100 points (approx. 13% of your semester grade), and the final exam will be worth 200 points (approx. 27% of your grade). Test dates will be announced in class at least one week ahead of time.

Tests:
Test dates: September 28, October 19, November 2, November 16 and December 2.  These dates are subject to change; any changes will be announced at least one week ahead of time in class and on this page.  The date and time for the final exam will be announced later (as soon as I find out).  UPDATE (12/3/99) -- The final exam will be given on Tuesday, Dec. 14, 2:00-4:00 PM in 105 Tuttleman Hall.

Attendance:
You are expected to attend every class, if possible. Attendance will not be graded; however, to succeed in this course you will need to attend class regularly. If you must miss class on a test date, then let me know beforehand. To be excused from a test (so that it will not affect your grade), you will need to provide me with some sort of written proof for your excuse -- for example: a note from your doctor, a copy of the car mechanic's bill, etc. Make-up tests will not be given.

Homework:
Minimal homework assignments will be given for each section of the text. This homework will not be collected or graded; you will be trusted to complete (at least) the minimal assignment on your own. At the beginning of each class, time will be taken to discuss that day's homework assignment.

COW:
COW stands for Calculus On the Web.  This is an interactive, web-based tutoring program developed right here at Temple University to help students to learn calculus.  The COW's web address is http://www.math.temple.edu/~cow. There will be one assignment per chapter (excluding Chapter 4) to be completed by the date of the test on that chapter.  Each such assignment will be worth 10 points, for a total of 50 points (approx. 7% of your semester grade) for COW work.

UPDATE (Nov. 16) -- The COW assignments for Chapters 9 and 10 will be optional extra-credit assignments. Only the assignments from chapters 6, 7 and 8 are mandatory. If you have not yet completed those assignments, you may still do so (half-credit will be given for all problems completed after the deadline).

Last update: 12/3/99
Kurt Ludwick (ludwick@math.temple.edu)