# MAT1225 Calculus of a Single Varible I

All course materials (notes, homework, solutions) will be posted on the course canvas page. (CRN 85971, CRN 85978, CRN 85986).

## Schedule

Below is a schedule of the semester and roughly what I intend to cover each day. The exam dates are firm.**Aug 26**- (Section 2.1) The Tangent and Velocity Problems**Aug 27**- (Section 2.2) The Limit of a Function.**Aug 28**- (Section 2.2) The Limit of a Function.**Aug 30**- (Section 2.3) Calculating Limits Using the Limit Laws**Sep 03**- (Section 2.3) Calculating Limits Using the Limit Laws**Sep 04**- (Section 2.4) The Precise Definition of a Limit**Sep 06**- (Section 2.4) The Precise Definition of a Limit**Sep 09**- (Section 2.5) Continuity**Sep 10**- (Section 2.5) Continuity**Sep 11**- (Section 2.5) Continuity**Sep 13**- (Section 2.6) Limits at Infinity; Horizontal Asymptotes**Sep 16**- (Section 2.7) Derivatives and Rates of Change**Sep 17**- (Optional) Review Day**Sep 18**- (Section 2.8) The Derivative as a Function. Review.**EXAM 1 @ 7:00pm in TORG 3100****Sep 20**- (Section 3.1) Derivatives of Polynomials and Exponentials**Sep 23**- (Section 3.2) The Product and Quotient Rules**Sep 24**- (Section 3.3) Derivatives of Trigonometric Functions**Sep 25**- (Section 3.4) The Chain Rule**Sep 27**- (Section 3.4) The Chain Rule**Sep 30**- (Section 3.5) Implicit Differentiation**Oct 01**- (Section 3.5) Implicit Differentiation**Oct 02**- (Section 3.6) Derivatves of Logarithmic Functions**Oct 07**- (Section 3.6) Derivatives of Logarithmic Functions**Oct 08**- (Section 3.7) Rates of Change in the Natural and Social Sciences**Oct 09**- (Section 3.9) Related Rates**Oct 11**- (Section 3.9) Related Rates**Oct 14**- Review Day**Oct 15**- (Optional) Review Day**Oct 16**- (Section 3.10) Linear Approximations and Differentials.**EXAM 2 @ 7:00pm in room TORG 3100****Oct 18**- (Section 4.8) Newton's Method**Oct 21**- (Section 4.1) Maximum and Minimum Values**Oct 22**- (Section 4.2) The Mean Value Theorem**Oct 23**- (Section 4.2) The Mean Value Theorem**Oct 25**- (Section 4.3) How Derivatives Affect the Shape of a Graph**Oct 28**- (Section 4.3) How Derivatives Affect the Shape of a Graph**Oct 29**- (Section 4.3) How Derivatives Affect the Shape of a Graph**Oct 30**- (Section 4.5) Summary of Curve Sketching**Nov 01**- (Section 4.7) Optimization Problems**Nov 04**- (Section 4.7) Optimization Problems. Review**Nov 05**- (Section 4.9) Antiderivatives**Nov 06**- (Section 4.9) Antiderivatives.**EXAM 3 @ 7:00pm in room TORG 3100****Nov 08**- (Section 5.1) Areas and Distances**Nov 11**- (Section 5.1) Areas and Distances**Nov 12**- (Section 5.2) The Definite Integral**Nov 13**- (Section 5.2) The Definite Integral**Nov 15**- (Section 5.3) The Fundamental Theorem of Calculus**Nov 18**- (Section 5.4) Indefinite Integrals and the Net Change Theorem**Nov 19**- (Section 5.4) Indefinite Integrals and the Net Change Theorem**Nov 20**- (Section 5.5) The Substitution Rule**Dec 02**- (Section 5.5) The Substitution Rule**Dec 03**- (Optional) Review Day**Dec 04**- Review Day.**EXAM 4 @ 7:00pm in room TORG 3100****Dec 06**- Review Day**Dec 09**- Review Day**Dec 10**- (Optional) Review Day**Dec 11**- Review Day**Dec 16**-**FINAL EXAM @ 7:00pm in room [TBA]**

## Exam Topics

Each exam covers the following sections from the course textbook:**Exam 1**- Sections 2.1, 2.2, 2.3, 2.4, 2.5, 2.6, 2.7**Exam 2**- Sections 2.8, 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.9**Exam 3**- Sections 3.10, 4.1, 4.2, 4.3, 4.5, 4.7, 4.8**Exam 4**- Sections 4.9, 5.1, 5.2, 5.3, 5.4, 5.5**Final Exam**- Cumulative

## Exam Reviews

You should consult the Math 1225 website for past exams. As well, the syllabus on Canvas has a list of suggested practice problems from the book.## Office Hours

My official office hours are listed below.

Monday | 1:00pm – 2:30pm | McBryde 419 | ||

Tuesday | ||||

Wednesday | ||||

Thursday | 11:00am – 1:00pm | McBryde 419 | ||

Friday |

If you cannot make those, I am available by appointment (in my office) and by email.