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
Explore More Learning Paths
Build a strong foundation in calculus with these carefully selected courses designed to develop your understanding of functions, differentiation, and vector calculus for practical applications in science and engineering.
Related Courses
Vector Calculus for Engineers Course – Learn vector calculus concepts and techniques tailored for engineering applications, including gradients, divergence, and curl.
Calculus: Single Variable Part 1 – Functions Course – Explore the fundamentals of functions, limits, and continuity to build a solid foundation for calculus.
Calculus: Single Variable Part 2 – Differentiation Course – Master differentiation techniques and their applications to solve real-world problems in mathematics, physics, and engineering.
Related Reading
Enhance your approach to learning and performance improvement:
What Is Performance Management? – Understand how structured evaluation and goal-setting can help you systematically approach complex calculus problems and improve problem-solving skills.
Specification: Introduction to Calculus Course
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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.
