Math 101 Introduction to Analysis, Fall 2018


Instructor: Anatolii Grinshpan
Office hours:  Wednesday 10-12 and Thursday 11-12, Korman 207.

Syllabus    MyMathLab    Calendar    Tutoring center 

Sep 24. Introduction to the course. Equations of lines. Worksheet.

Sep 26. Applications: supply-demand model, linear cost analysis, Fahrenheit vs Celsius.

Sep 27. Examples and practice.

Sep 28. Practice quiz.

Reading: 1.1, 1.2.

 

Oct 1. Functions: domain, range, correspondence.

Oct 3. Graphing a function.

Oct 4. Composition.

Oct 5. Quiz 1 (1.1, 1.2).

Reading: 10.1, 10.2.6, 12.3 (pages 626-628).

 

Oct 8. Columbus day.

Oct 10. Quadratic functions.

Oct 11. Applications of quadratic functions.

Oct 12. Quiz 2 (10.1, 10.2.6, 12.3). Polynomials.

Reading: 10.2, 10.3.

 

Oct 15. Graphing polynomials. Asymptotes of rational functions.

Oct 17. Examples and practice.

Oct 18. Examples and practice. Exponential functions.

Oct 19. Quiz 3 (10.2, 10.3).

Reading: 10.3, 10.4.

 

Oct 22. Midterm 1: 8:00-8:50 AM, Main Auditorium. (front page)

Oct 24. Rational functions in applications.

Oct 25. Exponentials and logarithms.

Oct 26. Practice quiz.

Reading: 10.3, 10.4.

 

Oct 29. Logarithmic functions.

Oct 31. Simple and compound interest.

Nov 1. Continuous compounding.

Nov 2. Practice quiz.

Reading: 10.5, 5.1. Quiz 4: online.

 

Nov 5. Midterm 2: 8:00-8:50 AM, Main Auditorium.

Nov 7. Geometric sums. Annuities.

Nov 8. Present and future values.

Nov 9. Practice quiz. Amortization.

Reading: 5.2, 5.3. Amortization schedule calculator.

 

Nov 12. Examples and practice.

Nov 14. Examples and practice.

Nov 15. Systems of linear equations. Gaussian elimination.

Nov 16. Quiz 5 (5.2, 5.3).

Reading: 2.1, 2.2. Example from MML. Orbit of Ceres.

 

Thanksgiving break

 

Nov 26. Gaussian elimination (Gauss-Jordan method).

Nov 28. Examples and practice.

Nov 29. Matrix addition and scaling.

Nov 30. Quiz 6 (2.1, 2.2). Matrix multiplication.

Reading: 2.3, 2.4.

 

Dec 3. Matrix multiplication and inversion. Makeup (answers).

Dec 5. Practice quiz.

Dec 6. Review.

Dec 7. Review.

Reading: 2.5.

 

Dec 13. Office hours: 1-3 PM (Korman 207).

 

Dec 14. Final exam (formula list) (review solutions): 1-3 PM, Main Auditorium (answers).