Math 101 – Introduction to Analysis, Winter 2008


Instructor: Anatolii Grinshpan

Tuesday – Friday, 10-11, Rush 233, and 2-3, Rush 213.
Office hours:  Mon 2-3 (Korman 266), Tu, Th 3-4 (Korman 247)

Syllabus.    Calendar.     Math resource center.    Academic calendar.

Function grapher.   Extra credit problems.

Jan 8. The real line. Inequalities for real numbers. Cartesian plane. Slopes of lines.

Jan 9. Equations of lines (horizontal, vertical, through the origin, slope-intercept, point-slope). Examples.

Jan 10. Examples. Exponents.

Jan 11. Quiz 1 (equations of lines). Homework discussion.

Jan 15. Functions. Domain and range. Vertical line test. Linear functions.

Jan 16. Quiz 2 (exponents). Quadratic functions. Quadratic formula. Examples.

Jan 17. Homework and problem discussion.

Jan 18. Quiz 3 (due Tuesday). Homework and problem discussion.

Jan 22. Piecewise linear functions. Polynomials. Rational functions.

Jan 23. Quiz 4 (quadratic equations). Composition.  Problem discussion. Quiz 3: answers, graphs.

Jan 24. Problem discussion. Difference quotient. Quiz 4: answers, graph.

Jan 25 Quiz 5 (due Tuesday). Exponential functions y=ax. Example: x2 versus 2x, graph.

Jan 29. Exponential functions. Logarithms. Quiz 5: answers, graph.  Carbon-14 dating.

Jan 30. Quiz 6 (difference quotient, exponential functions). Homework and problem discussion.

Jan 31. Homework and problem discussion. Quiz 6: answers, graph. Some review problems (bad numbers in # 9).

Feb 1.  Test 1: 8-8:50 A.M., Matheson 109. Material: Chapter 1. Focus: homework, quizzes, review, examples from class.

            Regular class: Test 1 discussion.

Feb 5.  Simple interest.

Feb 6.  Quiz 7 (simple interest). Problem discussion.

Feb 7.  Compound interest. Growth times. Doubling and rule of 72.

Feb 8.  Quiz 8 (due Tuesday). Effective rates. Problem discussion.

Feb 12. Quiz 8 answers. Examples. Geometric series.

Feb 13. Quiz 9 (geometric series). Annuities.

Feb 14. Annuities. Examples.

Feb 15. Quiz 10 (due Tuesday). Amortization.

Feb 19. Quiz 10 answers. Problem discussion. Financial formulas.

Feb 20. Homework discussion. Quiz 11 (amortization). Quiz 11 answers.

Feb 21. Systems of two linear equations in two variables.

Feb 22. Quiz 12 (due Tuesday). Linear equations and matrices.

Feb 26. Homework and problem discussion. Review for 2.1-3.2. Financial worksheet.

Feb 27. Quiz 13 (linear systems and matrices).

Feb 28. Homework and problem discussion. Quiz 12 answers, plots.

Feb 29. Test 2: 8-8:50 A.M., Matheson 109. Material: Chapter 2, 3.1, 3.2. Focus: homework, quizzes, examples from class, review.

             Regular class: Test 2 discussion.

Mar 4.  Systems of linear equations. The Gauss-Jordan method.

Mar 5. Quiz 14 (Gauss-Jordan elimination).

Mar 6. Dependent, inconsistent, and uniquely solvable linear systems. Matrix arithmetic.

Mar 7. Quiz 15 (due Tuesday). Matrix arithmetic. Inverse matrix.

Mar 11. Finding the inverse matrix.

Mar 12. Quiz 16 (inverse matrices). Review for the final exam.

Mar 13. Review.

Mar 14. Review. Financial formulas for the final exam.

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Mar 18. Office hours: 10-12 (Korman 247).

Mar 20. Final Exam: 8-10 A.M., Randell 326. Material: 1.1-3.5. Focus: homework, quizzes, midterms, reviews, examples from class.

             Answers to the final exam.