MATH 1210
Calculus I for Engineers
Winter 2026 · Calculus I / Calculus I for Engineers
Topics
- Functions
- limits and continuity
- differentiation rules
- optimization and related rates
- definite and indefinite integration
- Fundamental Theorem of Calculus
- substitution.
Readings
- No textbook purchase required. Suggested: Stewart, Calculus; Salas, Hille and Etgen, Calculus; Thomas, Weir and Hass, Calculus. Free supplements: Herman and Strang, Calculus Volume 1 (OpenStax); Gregory Hartman, Apex Calculus, version 4. Free WeBWorK is required for homework.
Fall 2025
Topics
- Functions (definition, domain and range, representation of functions
- elementary functions, piecewise functions, composition of functions
- inverse functions)
- Limits (intuitive definition, properties of limits, Squeeze Theorem, spe
- cial limits, one-sided limits, infinite limits, limits at infinity, vertical
- horizontal and slant asymptotes, precise definition)
- Continuity (definition of continuity at a point and in an interval, ex
- amples of continuous functions, Intermediate Value Theorem)
- Derivatives (definition and notations, geometric and physical interpre
- tation, differentiability and continuity, power rule, product rule, quo
- tient rule, chain rule, derivative formulas, higher derivatives, implicit
- differentiation, logarithmic differentiation)
- Applications of Derivatives (Extreme Value Theorem, Rolle’s Theorem
- flection points, first and second derivative tests, related rates problems
- optimization problems, curve sketching)
- Integrals (definite and indefinite integrals, the Fundamental Theorem
- of Calculus, the substitution rule)
Readings
- Recommended: Any edition of the following:
- Recommended: Calculus: Early Transcendentals, by Ron Larson and Bruce Edwards, (8th Edition Hardcopy early-transcendental-functions-8e-larson-edwards/9780357759325), (Chancellor Paterson Library, Paterson Books - 4th floor; QA 303 L3274 2003).
- Recommended: Calculus: Early Transcendentals, by James Stewart, (9th Edition Hardcopy early-transcendentals-9e-stewart-clegg-watson/9781337613927), (Chancellor Paterson Library, Paterson Books - 4th floor; QA 303 L3274 2003).
- Recommended: Free Online Textbooks:
- Recommended: Calculus Volume 1 by Edwin Herman, Gilbert Strang (
- Recommended: Apex Calculus, Version 3 by Gregory Hartman (
Fall 2025
Topics
- Differentiation and its applications
- definite and indefinite integrals
- transcendental functions
- complex numbers
- integration techniques.
Readings
- Course resources: Larson and Edwards, Calculus, 12th edition; Stewart, Clegg and Watson, Calculus: Early Transcendentals, 9th edition. WeBWorK is used for assignments.
Fall 2019
Topics
- problems
Readings
- Calculus, 6th ed., by Larson and Edwards Course Description:
Fall 2016
Readings
- Ron Larson and Bruce Edwards: Calculus – Early Transcendental Functions (6th Edition)
Fall 2011
Readings
- Larson & Edwards, Calculus – Early Transcendental Functions (5th Edition), Brooks/Cole, 2011.
Sources
- Course catalogue ↗2026–2027
- syllabus ↗2017
- syllabus ↗Winter 2026
- Course source ↗
- syllabus ↗Fall 2025
- syllabus ↗Fall 2025
- syllabus ↗Fall 2019
- Course source ↗
- syllabus ↗Fall 2016
- Course source ↗
- syllabus ↗Fall 2011
- Course source ↗
- Official hub and filename identify MATH 1171/1210 WA; body header says MATH 1210 WA. Preserve that source-identity qualification.
- Additional readings or course materials are supplied through the course site or course pack.; MATH1171 and MATH1151 occur in substitution/credit-exclusion statements; the document is MATH1210FAB.; MATH 1171 and 1151 occur only as substitutions or credit exclusions. Campus emergency and closure appendices are excluded from the topic summary.