| MA 127 Calculus I & II - Block III 2002 |
| WEEK ONE - | DETAILED SCHEDULE AND HOMEWORK |
| Monday | |
| Sections Covered: | Overview: Parts of Section 2.1 and Section 5.1 |
| Topics: | Introduction. The basic problems of integral calculus and differential calculus. How they are connected by the Fundamental Theorem of Calculus. Discussion of infinity and limits as a fundamental concern in calculus. |
| Tuesday | |
| To Prepare: | Read "The Book of Sand" by J. Borges, and also "Resolution of the Paradox" by Abner Shimony |
| Sections Covered: | Section 11.1, 2.2, 2.6 |
| Topics: | Sizes of infinity. Paradoxes in infinity. Zeno's Paradox. Thinking of infinity in calculus. Sequences. Limits of Sequences. Limits of functions as x goes to infinity or negative infinity. The limit of a function as x approaches a finite number. |
| Lab One: | 1:30 p.m. - 3:00 p.m. in Palmer 14. Introduction to using Mathematica. Comparing growth rates of functions. |
| Wednesday | |
| To Prepare: | Review the logarithmic and exponential functions. Review trigonometric functions sine, cosine, tangent. |
| Sections Covered: | Sections 1.5, 1.6, 2.3, 2.4, 2.5, 2.7, 2.8, 2.9. |
| Topics: | The Limit of a function. Examples using the logarithmic and exponential functions. Definition of the derivative. Continuity. The derivative is a function. |
| Homework One: | Due today by 5 p.m. in the Green labelled boxes beside Palmer 130. |
| Thursday | |
| To Prepare: | |
| Sections Covered: | Sections 3.1 to 3.8 |
| Topics: | Methods for finding derivatives: The product rule, the quotient rule, the chain rule, implicit differentiation. Derivative of inverse trig functions and logarithmic functions. |
| Quiz One: | Find a derivative using the limit definition. Evaluate limits (turn in by 3:00 p.m. to my office, room 134). |
| Friday | |
| To Prepare: | Draw a graph of e to the x, and e to the minus x. |
| Sections Covered: | Sections 3.8, 3.9, 3.10*, 4.1, 4.3, 4.5 |
| Topics: | Hyperbolic functions sinh and cosh. Related Rates*. Maximum and Minimum values. Determining intervals on which the function is increasing/decreasing, or concave up/concave down. |
| Homework Two: | Due today by 5 p.m. in the Green labelled boxes beside Palmer 130. (deriv by hand, implicit derivs, prod, quot, chain) |
| Go to Week Two | |
| Back to Week by Week Syllabus |