MATH-1620

• Course syllabus

Lecture slideshows

• Integration by substitution
• Integration by substitution for definite integrals
• Integration by parts
• Hyperbolic functions
• Trigonometric substitutions

Narrated lecture slideshows

• Integration by substitution
• Integration by substitution for definite integrals
• Integration by parts
• Integration by partial fractions
• Hyperbolic functions
• Trigonometric substitutions
• Improper integrals
• Infinite series
• Geometric series
• Convergence tests
• Comparison tests
• Ratio tests
• Alternating series
• Power series
• Taylor series
• Basics of differential equations

Additional material

I have created the following interactive demonstrations for certain difficult concepts one may encounter in this course.

Infinite series

• Harmonic series
• Hyperharmonic series with p=2
• Hyperharmonic series with p=1.01
• Alternating harmonic series
• Leibniz series

Parametric curves

• Basic example: circle

Coordinate systems

• Polar coordinate system
• Polar spiral
• Polar rose