ISI - MATH 1170 - Calculus I
Course Description
Calculus I covers functions, limits, continuity, differentiation, integration, applications, differentiation and integration of transcendental functions. Primarily for students in engineering, mathematics, science or computer science.
UI students: Carries 2 credits after Math 160 Calculus I
This course is intended to give the student an understanding of the fundamental concepts of calculus. There are two main parts to Calculus I: differentiation and integration. Basically, differentiation extends the notion of the slope of a line to the slope of a curve and integration extends the notion of areas of polygons to areas of irregular, curved shapes.
REQUIRED: Exam proctor required for this course.
Learner Outcomes
Upon successful completion of this course, the student will be able to:
- Calculate limits from graphs and by using limit laws.
- Determine where a function is continuous by using the concept of limits.
- Calculate derivatives using the limit definition and by using derivative rules.
- Calculate the derivative of functions defined implicitly.
- Apply differentiation to problems such as related rates, curve sketching, and optimization.
- Find antiderivatives of elementary functions and by using u-substitution.
- Use the Fundamental Theorem of Calculus to evaluate definite integrals.
- Calculate derivatives and antiderivatives with transcendental functions.
- Use conditional probabilities and independence to solve probability problems.
- Use models describing exponential growth and decay.
- Apply integration to problems of area and volume.
Required Course Materials
Stewart, James. Single Variable Essential Calculus. 2nd ed. Brooks/Cole, 2013. ISBN-10: 1133112765, ISBN-13: 9781133112761
Recommended Course Materials
Stewart, James. Single Variable Essential Calculus Student Solutions Manual. 2nd ed. Brooks/Cole, 2013. ISBN-10: 1133490948, ISBN-13: 9781133490944
Sponsor Institution
Credits earned for this course are included in a University of Idaho transcript.
This is an INDEPENDENT STUDY IN IDAHO course
To learn about program and refund policies, visit www.uidaho.edu/isi.
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COURSE NUMBER NOTICE
Beginning with the 2025-2026 Catalog year, the University of Idaho transitioned to 4-digit course numbers. As ISI works through this transition, you may continue to see 3-digit course numbers during this time. A crosswalk is available online.
Prerequisites
Prerequisite: Math 143 Precalculus I: Algebra (with a grade of C or better) and Math 144 Precalculus II: Trigonometry (concurrent enrollment in Math 144 is allowed although it is recommended that students complete Math 144 before enrolling in Math 170); or demonstrated proficiency through a sufficiently high score on the ACT, SAT, or math placement tests.Required test scores can be found here: https://www.uidaho.edu/registrar/registration/placement
- EP0027 - ISI - MATH 1170 Pre-Req