Curriculum Syllabus & Outline
Markdown Syllabus# Calculus I Outline
1. Limits
2. Derivatives
3. Applications
4. Integrals
5. FTC
Educational Context & Standards
Focused tutoring for Calculus I: build strong fundamentals in limits, derivatives, and integrals.
Cross-Curriculum Equivalents
Canada/BC: BC University Calculus Prep & Tutoring
CA-BC-TUT
Canada/ON: Ontario Collegiate Advanced Tutoring
CA-ON-TUT
US/National: AP & Collegiate Advanced Mathematics
US-ADV-MTH
Structured Lesson Modules (5 Lessons)
1
Limits
Evaluate and interpret limits.
2
Derivatives
Rules and computation.
3
Applications
Rates, optimization, motion.
4
Integrals
Antiderivatives and area.
5
FTC
Connect derivatives and integrals.
Assessments & Check-for-Understanding
Q1
Derivative of x²?
Answer
2x
Q2
∫ 2x dx = ?
Answer
x²+C
Q3
Limit x→0 (1-cos x)/x²?
Answer
1/2
Q4
Velocity = ?
Answer
Derivative of position
Q5
Acceleration = ?
Answer
Derivative of velocity
Q6
FTC part 1?
Answer
d/dx ∫_a^x f = f(x)