Curriculum Syllabus & Outline
Markdown Syllabus# Math 150 Outline
1. Precalculus Review
- Functions, trig, exponentials, logs
2. Limits & Continuity
3. Derivatives & Rules
4. Applications
5. Integration
- Antiderivatives, definite integrals, FTC
6. Applications of Integration (area, volume)
Educational Context & Standards
Math 150 is calculus I with built-in precalculus review, ideal for students needing refresh. Covers full differential and integral calculus of one variable.
Cross-Curriculum Equivalents
Canada/ON: University of Toronto / Waterloo MAT135 / MATH137
CA-ON-U-CALC1
Canada/AB: University of Alberta MATH 114 / 117
CA-AB-U-CALC1
US/National: AP Calculus AB / BC & Collegiate Calc I
US-AP-CALC-BC
US/NY: SUNY / Columbia Calculus I (MATH UN1101)
US-NY-COL-CALC1
US/TX: UT Austin M 408C / Texas A&M MATH 151
US-TX-UTA-M408
Structured Lesson Modules (6 Lessons)
1
Review Functions
Trig, exp, log properties and graphs.
2
Limits
One/two-sided limits, continuity, IVT.
3
Derivatives
Rules and applications.
4
Curve Sketching
First/second derivative tests.
5
Integrals
Antiderivatives, Riemann sums, FTC.
6
Applications
Area between curves, volumes of revolution.
Assessments & Check-for-Understanding
Q1
∫ x^n dx = ?
Answer
x^(n+1)/(n+1)+C
Q2
FTC: d/dx ∫_a^x f(t)dt = ?
Answer
f(x)
Q3
Derivative of cos x?
Answer
-sin x
Q4
∫ e^x dx = ?
Answer
e^x + C
Q5
Area under y=x from 0 to 2?
Answer
2
Q6
Volume disk method?
Answer
π∫ r² dx