* Week 1
* inequalities
* the real number line
* solving inequalities
* set builder notation
* intervals
* functions
* absolute value function
* domain and range
* graphing lines and quadratics
* vertical line test
* piecewise functions
* Week 2
* transforming graphs
* vertical shifts
* horizontal shifts
* vertical stretch / compression
* horizontal stretch / compression
* trigonometry
* radians and degrees
* the special triangles
* graphing trigonometric functions
* Week 3
* exponential functions
* Euler's number
* logarithms
* natural logarithm
* exponential growth
* radioactive decay
* one-to-one functions
* horizontal line test
* inverse functions
* inversion algorithm
* inverse trigonometric functions
* limits
* limit laws
* sandwich theorem
* squeeze theorem
* Week 4
* one sided limits
* right hand limit
* left hand limit
* existence of limits
* trigonometric limits
* geometric proof of limit sin(x)/x
* continuity
* intermediate value theorem
* limits to infinity
* horizontal asymptotes
* vertical asymptotes
* Week 5
* horizontal asymptotes
* vertical asymptotes
* rate of change
* speed and travel
* average rate of change
* instant rate of change
* slope of a line
* slope of a curve
* derivative as a function
* Leibniz and Newton notation
* one sided derivatives
* left derivative
* right derivative
* differentiable => continuous
* Week 6
* derivatives
* rate of change
* velocity, speed, and acceleration
* Mendel's law of inheritance
* differentiation rules
* scaling
* adding
* constants
* power rule
* horizontal tangent lines
* product rule
* quotient rule
* Week 7
* chain rule
* implicit differentiation
* fundamental law of muscle contraction
* Week 8
* inverse functio
* differentiating inverse functions
* logarithmic differentiations
* inverse trigonometric functions
* related rates
* ./2017-2018-134/week-09/mat-134-week-9.pdf
* ./2017-2018-134/week-09/mat-134-week-9ab.pdf
* Week 10
* monotonic functions
* increasing / decreasing
* critical points
* first derivative test for local extrema
* concavity
* concave up / down
* second derivative test for concavity
* point of inflection
* curve sketching
* oblique asymptotes
* Week 11
* curve sketching
* applied optimization
* optimization algorithm
* indeterminate forms
* L'Hopital's rule
* Week 12
* applied optimization
* antiderivatives
* indefinite integrals
* Week 13
* area
* upper and lowers sums
* average value
* Week 14
* sigma notation
* algebra and sigma notation
* geometric series
* Riemann sums
* definite integrals
* algebraic properties of definite integrals
* geometry and area
* Week 15
* definite integrals
* area and derivatives
* area and anti-derivatives
* fundamental theorem of calculus
* total area
* signed area
* anti-differentiation techniques
* substitution for indefinite integrals
* Week 16
* substitution
* definite integrals and substitution
* area between curves
* vertical slices
* horizontal slices
* area algorithm
* volume
* solids of revolution
* washer method
* Week 17
* parametric curves
* arclength
* physical work
* force
* Hooke's law
* Week 18
* integration techniques
* trigonometric integrals
* the inverse trig functions
* integration by parts
* cylic parts
* iterated parts
* parts and definite integrals
* trigonometric integrals
* itegrating sin^n(x)cos^k(x)
* itegrating sec^n(x)tan^k(x)
* Week 19
* trigonometric substitution
* partial fractions
* Week 20
* improper integrals
* convergence and divergence
* limiting to infinity
* integrating near vertical asymptotes
* comparison test
* limit comparison
* sequences
* Week 21
* convergence of sequences
* divergence of sequences
* squeeze theorem for sequences
* continuous image of a sequence
* bounded sequences
* bounded above
* bounded below
* monotone
* non-increasing sequence
* non-decreasing sequence
* monotone convergence theorem
* infinite series
* partial sums
* algebra for series
* n'th term divergence test
* geometric series
* divergence of the harmonic series
* integral test
* Week 22
* comparison for series
* recursive sequences
* ratio test
* root test
* absolute convergence
* Week 23
* absolute convergence
* conditional convergence
* alternating series
* convegence flow chart
* power series
* domain of convergence
* Maclaurin series
* Taylor series
* Week 24
* Maclaurin series
* convergence of power series
* interval of convergence
* radius of convergence