Syllabus for CALCULUS I (MAT120-003)

INSTRUCTOR: Andy Long. Office: ST 328; phone: 572-5794; email: longa@nku.edu

MEETING TIME/PLACE:

LEC   MWF   12:00-12:50PM  ST  246
       TR   12:15-01:30PM  ST  246        

EXPECTED BACKGROUND: B or better in MAT 119 (preferred), or MAT 118, or equivalent; or placement. If you have doubts or concerns about your background, please see me as soon as possible.

TEXT: Calculus, fourth edition, by James Stewart. We will cover most of chapters 1-7, making use of the TI-92 or TI-89 calculators (if you do not have one of these, one will be loaned to you).

GRADING: There will be three exams and a comprehensive final. Homework will be assigned regularly, and some homework assignments will be handed in so that a few homework problems (chosen at random) may be graded. To encourage you to read the textbook, a directed reading worksheet for each reading assignment will be provided. On randomly chosen occasions, a short quiz will be administered at the beginning of class, based on this worksheet. If you have prepared the worksheet ahead of time, you should do fine on the quiz; if not, well...I will drop your two worst quizzes. We'll have have a quiz on approximately 1/3 of the possible occasions.

Your course grade will be determined as follows:

Homework/Quizzes 15%
Three Exams 60%
Final 25%

The tests will be given in class, closed book. Make-up exams will not be given except in extreme circumstances. If I excuse a student from an exam (again, for some extreme reason), the student's course grade will be calculated based on the rest of the semester's work.

HOMEWORK: Homework will be assigned almost daily. You should expect to do a lot of homework, and to do it regularly, in order to do well in the course. You should also expect to go to the board often in this class: we will often spend class time at the board, attempting problems together.

ATTENDANCE: The student is responsible for all material assigned or discussed in class. Attendance will be taken, and may be used along with class effort (as measured by participation - asking questions, answering other students' questions, group work, etc.) to resolve borderline grades.

WITHDRAWAL: The last day to withdraw from any class with a "W" is 3/28/2003. After that day it is not usually permitted.

OFFICE HOURS: MWF 10:00-11:30, TR 10:40-11:30. I am also available by appointment, and at random when approached with a smile.

Notes:


(Tentative) Schedule for Mat120-003

Monday Tuesday Wednesday Thursday Friday
1/13: Introductions/ Preview 1/14: Function basics (Section 1.1) 1/15: Functions as models for reality (whatever that is!): Section 1.2 1/16: Calculus in a day: the Mazda Project 1/17: Functions upon functions (compositions, section 1.3).
1/20: No Class: Martin Luther King Day 1/21: More savage beasts from the function zoo. 1/22: Functions that do flips (Section 7.1, p. 407-411) 1/23: Function Practicum (CBL?) 1/24: Have you hit your limit? (Section 2.1/2.2)
1/27: Ugly, craggy functions (Section 2.2) 1/28: Discovering limit laws (Section 2.3) 1/29: Smoothness (Section 2.5) 1/30: Limit your exercise, or exercise your limits? (Section 2.6) 1/31: Derivatives as numbers (slopes - Section 3.1)
2/3: Derivatives as functions (Section 3.2) 2/4: Discovering differentiation laws (Section 3.3) 2/5: Review 2/6: Exam 1 (through 3.1) 2/7: Derivatives of trig functions (Section 3.5)
2/10: Rates of change (Section 3.4) 2/11: Applications of rates of change 2/12: Derivatives upon derivatives (Section 3.8) 2/13: Where should a pilot start descent? (p. 199) 2/14: Workin' on a chain rule (Section 3.6)
2/17: No class: Presidents' Day 2/18: Applications of related rates (Section 3.9) 2/19: More related rates (Section 3.9) 2/20: Taylor Series lab (p. 213) 2/21: Optimization (max/mins: (Section 4.1)
2/24: The Calculus of Rainbows (p. 232) 2/25: Optimization problems 2/26: Mean value theorem (Section 4.2) 2/27: Shaped by the derivative (Section 4.3) 2/28: Extreme limits (Section 4.4)
3/3: Summary of curve sketching (Section 4.5) 3/4: The shape of a can (p. 287) 3/5: Optimization (Section 4.7) 3/6: Exam 2 (through 4.3) 3/7: Root-finding (Section 4.9)
3/10: Spring Break 3/11: Spring Break 3/12: Spring Break 3/13: Spring Break 3/14: Spring Break
3/17: The Antiderivative (Section 4.10) 3/18: Undoing derivatives 3/19: Areas and distances (Section 5.1) 3/20: Playing with approximations 3/21: The definite integral (Section 5.2)
3/24: Area functions 3/25: The fundamental theorem (Section 5.3) 3/26: The indefinite integral (Section 5.4) 3/27: Substitute that! (Section 5.5) 3/28: More on substitution
(withdrawal deadline)
3/31: Areas between curves (Section 6.1) 4/1: 3-d areas? (Section 6.2) 4/2: More on volumes 4/3: Slicing and dicing (Section 6.3) 4/4: More on volumes
4/7: Work (Section 6.4) 4/8: Get to work! 4/9: Review (was "Average values of functions (Section 6.5)") 4/10: Exam 3 (through 6.3) 4/11: Back to the inverse (Section 7.1)
4/14: The Exponential function (Section 7.2) 4/15: The need for speed: applications of exponentials 4/16: The Logarithmic function (Section 7.3) 4/17: Applications of logs (including slide rules!) 4/18: Derivatives of logs (Section 7.4)
4/21: Inverse trig functions (Section 7.5) 4/22: Where to sit at the movies (p. 478) 4/23: Hyperbolic functions - no exaggeration! (Section 7.6) 4/24: When limits get ugly (Section 7.7) 4/25: The gory details of ugly limits (Section 7.7)
4/28: Additional applications (e.g. Newton's method, section 4.9), 4/29: 4/30: Review (old stuff) 5/1: Review (medium stuff), Evaluations, and 5/2: Review (new stuff)
5/5: class poster session 5/6: No Class
Call/Email
5/7: No Class
With
5/8: No Class
Questions!
5/9: Final Exam: 10:10 -12:10

Website maintained by Andy Long. Comments appreciated.
longa@nku.edu