BC Calculus — PowerPoint Presentations

Semester 1 -Calculus B

L49-51 Review
L52-54 Review
L55-57 Reveiw
L58-60 Review

L61: f, f', f''

L62: Work Distance Rates

L63: Critical Number Theorem
L64: Derivatives of Inverse Trig Functions

L65: Falling Bodies

L66: U Substitution
L67: Area with Functions of Y
L68: Even and Odd Functions

L69: Integration by Parts I

L70: Properties of Limits
L71: Solids of Revolutions - Disks
L72: Derivatives of Exponential/Logs

L73: Integrals of Exponential/Logs

L74: Fluid Force
L75: Continuity
L76&83: Odd/Even Powers of Sine/Cosine

L77: Pumping Fluids

L78: Particle Motion I
L79: L'Hopital's Rule
L80: Asymptotes of Rational Functions

L81: Solids of Revolution - Washers

L82: Differentiability
L84: Logarithmic Differentiation
L85: Mean Value Theorem

L86: Even/Odd Funtions

L87: Solids of Revolution - Shells
L88: Separable Differential Equatoins
L89: Average Value of a Funtion, MVT for Integrals

L90: Particle Motion II

L91: Product/Difference Indeterminate Forms
L92: Derivatives of Inverse Functions
L94: Solids of Revolution - Displaced Axes

L95: Trapezoidal Rule

L96: Derivative/Integrals with Absolute Value
L97 - Solids Defined by Cross Sections
L98: Fundamental Theorem of Calculus Part 2

L99: Linear Approximations

L100: Integrals of Tangent, Cotangent, Secant, Cosecant
L101: Proof of Limit of sin(x)/x
L101: Limit of sin(x)/x

L102: Definition of e

L103: Epsilon-Delta Proofs
L104: Slope Fields
L105: Sequences

L106: Intro to Parametric Equations

L107: Polar Coordinates, Polar Curves

Semester 2 - Calculus C

L108: Vectors

L109: Arc Length I
L110: Rose Curves
L111: Exponential Indeterminate Forms

L112: Trigonometric Substitution I

L113: Trigonometric Substitution II
L114: Arc Length II
L115: Partial Fractions I

L116: Series

L117: Geometric and Telescoping Series
L118: Limacons and Lemniscates
L119: Parametric EQ 2nd Derivative, Tangent Lines

L121: Convergence and Divergence, Arithmetic Series

L122: Integration by PartsII
L123: Vector Functions
L124: Implicit Differentiation II

L125: Improper Integrals

L127: P-Series, Harmonic Series
L128: Integral Test, Comparison Test
L129: Area Under Polar Curves

L130: Ratio, Root Tests

L131: Infinite Integrands
L132: Limit Comparison Test

L133: Euler's Method

L134: Slopes of Polar Curves

L135: Absolute Convergence
L136: FTC with Chain Rule
L137: Piecewise Intergration

L138: Conditional Convergence, Leibniz's Theorem

L139: Alternating Series Approximation Theorem
L140: Projectile Motion
L141: Taylor Series

L142: Velocity & Acceleration of Vector Functions

L143: Binomial Series
L144: Remainder Theorem
L145: Convergence of Power Series

L146: Term-by-term Differentiation & Integration

L147: Substitution into Power Series
L148: Integral Approximation Using Power Series