Calculus I & II
Master single-variable calculus through rigorous analytical proofs and applied computational engineering workflows.
This comprehensive course develops proficiency in differential and integral calculus, spanning limits, differentiation techniques, the Fundamental Theorem of Calculus, and infinite series. Students master both mathematical derivations and computational implementations using modern numerical tools. By bridging foundational analytical theorems with real-world quantitative modeling, learners build robust analytical reasoning for engineering and data science.
Curriculum
Two complete tracks. Study either or both — each has its own exam and certificate.
A mathematically rigorous exploration of single-variable real analysis, formalizing limit theorems, analytical derivatives, Darboux-Riemann integration, and power series convergence.
Rigorous treatment of real limits, formal continuity, difference quotients, and analytic extremum theorems.
- Formal Epsilon-Delta Limit Constructions Lab40 min
- Derivation of Differentiability and the Chain Rule Lab35 min
- The Mean Value Theorem and Curve Analysis Lab45 min
Careers this prepares you for
- Quantitative Analyst
- Machine Learning Engineer
- Robotics Dynamics Specialist
- Data Scientist
- Scientific Computing Engineer