# MATH 139

## Calculus 1 with Precalculus

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Prof: Allysa Lumley / Fall 2020

Dec 23, 2021

This is the introductory calculus course, with pre-calculus review, taken by STEM students in U0 who were not able to enroll in MATH 140. It builds off of the Grade 12 advanced functions, and calculus & vectors courses in high school. I took the course during COVID and it went pretty well. The lectures were well paced, with recordings readily available. Unlike other professors, professor Lumley used Twitch. The webwork assignments were quite doable, and the exams were fair. Due to having pre-calculus review, this course has four weekly 1 hour lectures rather than the standard 3.

Pre-calculus review: functions + inverse functions (polynomial, reciprocal, trigonometric, exponential, logarithmic, square root), graphing techniques + asymptotes*, trigonometry basics (definition of sine, cosine, tangent, their reciprocals and inverses, special triangles, radians, identities). Calculus material: limits, indeterminate forms + l'Hopital's Rule, Squeeze Theorem, differentiation (limit definition, techniques, implicit, logarithmic), linearization of a function, Extreme Value Theorem, Intermediate Value Theorem, Rolle's Theorem, Mean Value Theorem, very simple antidifferentiation. *Will be explored more in-depth using calculus concepts

Very nice and supportive. Explained the material well with neat diagrams and drawings.

Do the webwork problems and attend the tutorials. Review your high school notes.

**Online**Grade:

**A**Workload:

**Moderate**Textbook Use:

**Optional**

**Assignment Heavy**

**Exam Heavy**

Class Ratings

Prof: Alicia Lumley / Fall 2020

Mar 15, 2021

If you did well in high school calculus this course should mostly be a review.

Don't overlook definitions they give or anything they label with "theorem"; theorems and definitions help save time on homework and exams.

**A**Attendance:

**Non-Mandatory**Textbook Use:

**Optional**

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