What you will learn in Introduction to Calculus Course
- Master limits, continuity, and the formal definition of derivatives
- Learn differentiation rules (power, product, quotient, chain)
- Apply derivatives to solve optimization and related rates problems
- Understand the Fundamental Theorem of Calculus
- Develop problem-solving skills through practical applications
- Build a strong mathematical foundation for advanced study
Program Overview
Functions and Limits
⏱️ 2-3 weeks
- Review algebraic and transcendental functions
- Explore limits graphically and analytically
- Learn continuity and the Intermediate Value Theorem
Derivatives
⏱️ 3-4 weeks
- Understand the derivative as instantaneous rate of change
- Master differentiation techniques
- Apply derivatives to tangent lines and velocity problems
Applications of Derivatives
⏱️ 3-4 weeks
- Solve optimization problems
- Analyze curve sketching (increasing/decreasing, concavity)
- Learn related rates and L’Hôpital’s Rule
Integration
⏱️ 4-5 weeks
- Understand Riemann sums and definite integrals
- Learn antiderivatives and integration techniques
- Apply the Fundamental Theorem of Calculus
Get certificate
Job Outlook
- Calculus is fundamental for careers in:
- Engineering (average salary: 70K−120K)
- Data Science (90K−150K)
- Physics Research (60K−110K)
- Economics (65K−130K)
- 28% projected growth for math-intensive jobs (BLS 2022)
- Essential for graduate studies in STEM fields
Specification: Introduction to Calculus
|
FAQs
- Builds confidence in handling rate-of-change concepts, which are foundational in physics (e.g., motion, velocity, acceleration).
- Teaches integration methods essential for calculating areas, volumes, and accumulated quantities in engineering.
- Connects precalculus work on real functions to modeling real-world systems.
- Uses curve sketching via derivatives to analyze function behavior—key for interpreting scientific phenomena.
- Balances theory and application—making it easier to apply calculus principles in practical STEM contexts.
- Yes—completing the course plus a proctored post-MOOC exam may fulfill the mathematics prerequisites for entry into certain University of Sydney undergraduate degrees.
- You must register for the exam, take it online under supervised conditions, and submit your UAC application details.
- Passing the exam grants results within 48 hours, which can then be used in your university application.
- While it doesn’t alter your ATAR, it can make you eligible for programs that require prior calculus background.
- A solid grasp of precalculus topics—like manipulating functions, trigonometry, and inequalities—is highly beneficial.
- If you’re rusty on function types or basic algebra, spending a few hours brushing those up will smooth your progress.
- The course begins by reviewing these essentials, so you’ll be supported if you need a refresher.
- While the course description doesn’t detail forums, Coursera typically includes peer discussion boards where you can ask questions and share insights.
- With nearly 275,000 enrolled learners, you’re part of a large learning community.
- The “Most learners liked this course” rating of 97% suggests a positive and helpful experience.
- High completion and satisfaction ratings (4.8 average from ~3.9K reviews) imply effective support infrastructure and feedback loops.
