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Fall 2025 Syllabus: MAT135HSF – Differential Calculus (NOT Financial Accounting)

Study Guide - Smart Notes

Tailored notes based on your materials, expanded with key definitions, examples, and context.

Course Overview

Introduction

This document is the syllabus for MAT135HSF, a university-level course in differential calculus. The course covers functions and their graphs, trigonometry, exponentials, logarithms, limits, continuity, derivatives, and applications of differentiation. It is not related to Financial Accounting.

Course Meetings

Sections, Times, and Locations

The course is divided into multiple lecture sections, each with specific meeting times and locations. Delivery modes include in-person and online synchronous sessions. Students should refer to the official schedule for up-to-date information.

Course Contacts

  • Course Coordinator and Instructor: Dr. Maria Weisslen

  • Email: maria.weisslen@utoronto.ca

  • Other Instructors: Multiple instructors with contact information and office hours listed on the course website and Quercus.

Course Description

Topics Covered

  • Functions and their graphs

  • Trigonometry

  • Exponentials and logarithms

  • Limits and continuity

  • Derivatives and differentiation techniques

  • Applications of differentiation (curve sketching, optimization, related rates, etc.)

Learning Outcomes

  • Solve problems related to differential calculus

  • Interpret and analyze mathematical problems

  • Communicate solutions clearly and effectively

  • Apply calculus concepts to real-world and scientific problems

Prerequisites and Exclusions

  • Prerequisite: Minimum 70% in Grade 12 Advanced Functions (MHF4U)

  • Exclusions: Students with credit in certain other calculus courses may not take this course for credit.

  • Recommended Preparation: Minimum 70% in Grade 12 Calculus and Vectors (MCV4U)

Course Materials

  • Textbook: OpenStax Calculus Volume 1 (Open Educational Resource, free online)

  • Reading Guides: Provided for each topic to direct study

  • Office Hours: Available for help outside of class

Marking Scheme

Assessment

Percent

Details

Due Date

Preparation checks

5%

Average of all except lowest three

Weekly

MathMaize polls

4%

Full marks for 80% participation

Ongoing

Online assignments

7%

Average of all except lowest two

Weekly

Writing Assignments

4%

Three assignments, all count

See schedule

Term Test 1

19%

Best two of three term tests

2025-10-03

Term Test 2

19%

Best two of three term tests

2025-11-14

Surveys

2%

Start-of-course and end-of-course

2025-09-15, 2025-12-01

Final Assessment

40%

Cumulative final exam

Final Exam Period

Policies & Statements

  • Attendance and participation are expected.

  • Late assignments and prep-checks are not accepted except for extenuating circumstances.

  • Calculators are not allowed during term tests or the final exam.

  • Missed tests require documentation for make-up eligibility.

Additional Information

  • Discussion board (Piazza) is available for questions and peer support.

  • Practice problems and online practice are available on WebWork and Quercus.

  • Students are encouraged to seek help from instructors and attend office hours.

Note: This syllabus is for a calculus course and is not relevant to Financial Accounting.

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