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    Kurt Mjoen

    Link to Textbook

    Calculus Textbook

    Chapter 1 Lecture Videos (Limits)

    1.2 Intro to Limits (part 1) http://www.youtube.com/watch?v=ZnjNiPY1zhg

    1.2 Intro to Limits (part 2) http://www.youtube.com/watch?v=rQdG2sEcN5Q

    1.3 Evaluating limits analytically (part 1) http://www.youtube.com/watch?v=LsRxepQqClQ

    1.3 Evaluating limits analytically (part 2) http://www.youtube.com/watch?v=D9KqcLo1-SY

    1.3 Special Trig Limits http://www.youtube.com/watch?v=GAe4cnFVFWE

    1.4 Continuity https://www.youtube.com/watch?v=hVTVU5Sa7jw

    1.4 One Sided Limits - http://www.youtube.com/watch?v=tO59HmzAb7Y&feature=related

    1.4 Formal Definition of Continuity http://www.youtube.com/watch?v=skimsx2tqKo

    1.4 Intermediate Value Theorem - http://www.youtube.com/watch?v=E91enAQNAI4&list=UUywdgmuXNymPGvTb4d4rhAQ&index=2&feature=plcp&safety_mode=true&safe=active

    1.5 Infinite Limits http://www.youtube.com/watch?v=1ER4w80o_u4&safety_mode=true&safe=active

    3.5 Limits at Infinity - http://www.youtube.com/watch?v=J-mQR8WNyMs&safety_mode=true&safe=active

    Chapter 2 Lecture Videos (Derivatives)

    2.1 Definition of derivative http://www.youtube.com/watch?v=9m9quHDuqSM

    2.1 Definition of derivative (part 2) http://www.youtube.com/watch?v=tWDzZ8S6qD8

    2.1 AP Style Definition of the derivative problem http://www.youtube.com/watch?v=X5W5sNBIOPA

    2.2 The power rule (derivatives) http://www.youtube.com/watch?v=g_d92yd2LF8

    2.2 Finding the slope at a particular x value http://www.youtube.com/watch?v=ImG3DPJb180

    2.2 Finding the equation of a tangent line http://www.youtube.com/watch?v=7a5AKj8KfLc

    2.2 Finding where an equation has a horizontal tangent line http://www.youtube.com/watch?v=VRiU-5OdHgk

    2.2 Finding the equation of a tangent line given slope http://www.youtube.com/watch?v=ZH0dplx2DxY

    2.2 Sketch f prime based on graph of f http://www.youtube.com/watch?v=fTXTPBBKsNw

    2.2 Sketch f prime based on graph of f (ex 2) http://www.youtube.com/watch?v=n8UdxEQeqtQ&safety_mode=true&persist_safety_mode=1&safe=active

    2.2 Sketch f prime based on graph of f (ex 3) http://www.youtube.com/watch?v=ZYtIgckJDSg

    2.3 The product Rule http://www.youtube.com/watch?v=-xByxWpvhgg

    2.3 The quotient rule http://www.youtube.com/watch?v=JOXOIjbzebU

    2.3 Trigonemetric Derivatives http://www.youtube.com/watch?v=hra87Z4EPK8

    2.3 Higher Order Derivatives http://www.youtube.com/watch?v=RaadOnWuXMo

    2.4 The Chain Rule http://www.youtube.com/watch?v=yv9hewIQPIs&safety_mode=true&persist_safety_mode=1&safe=active

    2.4 Conceptual Derivatives http://www.youtube.com/watch?v=nu2aAcdtG1E&safety_mode=true&persist_safety_mode=1&safe=active

    2.5 Implicit Differentiation (Ex 1)  http://www.youtube.com/watch?v=BhGKUsiiX7k&safety_mode=true&persist_safety_mode=1&safe=active

    2.5 Implicit Differentiation (Ex 2) http://www.youtube.com/watch?v=W76h020apKo&feature=relmfu&safety_mode=true&persist_safety_mode=1&safe=active

    2.5 Second Derivative with implicit differentiation http://www.youtube.com/watch?v=8ICsuy4rRxY

    2.6 Related Rates http://www.youtube.com/watch?v=MMPRDyfe4qc

    2.6 Related Rates (ex 2) http://www.youtube.com/watch?v=7-ZylTsOxO4

    2.6 Related Rates (ex 3) http://www.youtube.com/watch?v=MPq7PW2fZVY&safety_mode=true&persist_safety_mode=1&safe=active

    Chapter 3 Lecture Videos (Applications of Derivatives)

    3.1 Critical Points http://www.youtube.com/watch?v=Dqoj9I1jzeM

    3.1 Absolute Extrema Concepts http://www.youtube.com/watch?v=EEZZvY57UFk

    3.1 Absolute Extrema Example http://www.youtube.com/watch?v=DgSERYxrgEw&safety_mode=true&persist_safety_mode=1&safe=active

    3.3 First Derivative Test Explained (Increasing, Decreasing, Relative Extrema) http://www.youtube.com/watch?v=e2peZXkbjKA

    3.3 How to Identify where a function is increasing http://www.youtube.com/watch?v=e3vQ_-hQtb8

    3.3 How to Identify where a function has relative extrema http://www.youtube.com/watch?v=7pmGGCM4b3s&safety_mode=true&persist_safety_mode=1&safe=active

    3.3 How to read a first derivative graph to identify where a function is inc/dec/etc.  http://www.youtube.com/watch?v=UUNHrbW8kFI&safety_mode=true&persist_safety_mode=1&safe=active

    3.4 Concavity and the second derivative http://www.youtube.com/watch?v=k71VAbjp7Cc

    3.4 Identify the x-values where a function is concave up or down http://www.youtube.com/watch?v=iqo-fYZ_JS4

    3.4 Identify concavity from a first derivative graph http://www.youtube.com/watch?v=vM6TIuIBels&safety_mode=true&persist_safety_mode=1&safe=active

    3.4 The second derivative test http://www.youtube.com/watch?v=_WlX2tGP9yk

    3.6 Sketch f based on f prime and f double prime http://www.youtube.com/watch?v=e0XL3KsBd7A

    3.6 Sketch f based on f prime and f double prime (example 2) http://www.youtube.com/watch?v=vkyo_2eIXR8

    3.7 Optimization (ex 1) http://www.youtube.com/watch?v=AxUvQiltyj8&safety_mode=true&persist_safety_mode=1&safe=active

    3.7 Optimization (ex 2) http://www.youtube.com/watch?v=FaJ3oCqRACc

    3.9 Concept of Tangent Line Approximations http://www.youtube.com/watch?v=Iu8Onku9W9Y

    3.9 Tangent line Approximation example http://www.youtube.com/watch?v=N4S9FS5AKoI&safety_mode=true&persist_safety_mode=1&safe=active

    Chapter 4 Lecture Videos (Integrals)

    4.2 Approximating Area Left hand Rec http://www.youtube.com/watch?v=jB_-92JA4-o

    4.2 Approximating Area Right hand Rec http://www.youtube.com/watch?v=Qoj-7pEpYSs

    4.2 Approximating Area Midpoint Rec http://www.youtube.com/watch?v=AuCHSvuMZ8c

    4.2 Approximating Area Trapezoids http://www.youtube.com/watch?v=cK7c0ig0_OM

    4.2 Approximating Area Tables http://www.youtube.com/watch?v=Z5AYcp1wx94

    4.1 Power Rule for anti-derivs http://www.youtube.com/watch?v=nEmCX4-lxsE

    4.1 Power Rule for anti-derivs (part 2) http://www.youtube.com/watch?v=hjQWHTbryys

    4.1 Power Rule for anti-derivs (part 3) http://www.youtube.com/watch?v=ceQ_e2dk4RQ

    4.1 Anti-derivs of some trig functions http://www.youtube.com/watch?v=qSRc8SFdVUY

    4.1 Solving basic differential equations http://www.youtube.com/watch?v=Q5r8Xjo603o

    4.1 More differential equations http://www.youtube.com/watch?v=4t3-Qwy9zVY

    4.3 Area and definite integrals http://www.youtube.com/watch?v=2LpxJUiHk4w

    4.4 Fundamental Theorem of Calculus http://www.youtube.com/watch?v=wvNTrqplCnA

    4.5 Integration by substitution (U-sub) http://www.youtube.com/watch?v=pF9_43yhIBM

    Chapter 5 Lecture Videos ( ln, e, inverse, etc.)

    5.1 Properties of the ln(x) function http://www.youtube.com/watch?v=cUrMDUPIh6k

    5.1 Derivative of ln(x) http://www.youtube.com/watch?v=HWnZgEYBJAE

    5.1 More Derivatives of ln(x) (expanding out first) http://www.youtube.com/watch?v=brAAZYdp5cY

    5.2 Anti-derivatives involving ln(x) http://www.youtube.com/watch?v=e45Uv0Cj7rs&safety_mode=true&persist_safety_mode=1&safe=active

    5.2 More Anti-derivatives involving ln(x) http://www.youtube.com/watch?v=rCeMf4xlSiw&safety_mode=true&persist_safety_mode=1&safe=active

    5.3 Properties of inverse functions http://www.youtube.com/watch?v=_VCJ8UROH4o

    5.3 Deriving the derivative of an inverse formula http://www.youtube.com/watch?v=00CpGbdqH4E

    5.3 Finding the derivative of an inverse (example) http://www.youtube.com/watch?v=wVrTQbiv9bA

    5.4 Properties of e^x  http://www.youtube.com/watch?v=bcWMAof2F1M

    5.4 Finding the derivative of e^x  http://www.youtube.com/watch?v=2oDgopp8jb4

    5.5 Derivatives of exponential functions with bases other than e http://www.youtube.com/watch?v=04TYy38MGmw

    5.5 Derivatives of log functions with base other than e http://www.youtube.com/watch?v=3BvBBKox2KY

    5.6 How to derive the formula for the derivative of the inverse of sin x http://www.youtube.com/watch?v=954gPvwNdBI

    5.6 Inverse Trig Derivs http://www.youtube.com/watch?v=_7DKcGhlWjQ

    5.6 Inverse Trig Derivs (Example 2) http://www.youtube.com/watch?v=VgImHogPcFM

    5.6 Inverse Trig Derivs (Example 3) http://www.youtube.com/watch?v=zD4cNX5_vGA

    5.7 Inverse Trig Anti-Derivs http://www.youtube.com/watch?v=igsvcZjvg_M

    5.7 Inverse Trig Anti-Derivs (Example 2) http://www.youtube.com/watch?v=qiKPbsdG4Bc

    5.7 Inverse Trig Anti-Derivs (Example 3) http://www.youtube.com/watch?v=ttTz587rdO8

    Chapter 6 Lectures Videos (Differential equations)

    6.3 Find the particular solution to a differential equation http://www.youtube.com/watch?v=bt8nlUu84ZU

    6.3 Find the particular solution to a differential equaiton (ex 2) http://www.youtube.com/watch?v=OYWUBYueMa0

    Chapter 7 Lecture Videos

    7.1 Area of a region between two curves http://www.youtube.com/watch?v=DjhwsO7qJog&safety_mode=true&safe=active

    7.2 Disk Method (Ex 1) http://www.youtube.com/watch?v=KSUJOZRk_Eg

    7.2 Known Cross Sections

    Chapter 8 Lecture Videos

    8.2 Integration by parts http://www.youtube.com/watch?v=grZDwskG7Wg

    8.2 Integration by parts (the tabular method) http://www.youtube.com/watch?v=ffT7xWWp5E8

    8.3 Trig Integrals http://www.youtube.com/watch?v=TpkVUAKKV3s

    8.3 Trig Integrals (part 2) http://www.youtube.com/watch?v=H0dW597dcW8

    8.4 Trig Sub http://www.youtube.com/watch?v=zfDa7iA8nwA

    8.5 Integration using partial fractions http://www.youtube.com/watch?v=HBXtJ6lpo7A

    8.5 Integration using partial fractions (part 2) http://www.youtube.com/watch?v=9nKyiuUdg54

    8.7 L'Hopital's Rule https://www.youtube.com/watch?v=W5HYPtriZ7M

    Random Items

    Basic Trig Review http://www.youtube.com/watch?v=ECdwNJ-nnQw

    Link to Calc AB HW

    Mr. Kurt Mjoen
    Mathematics Teacher
    AP Calculus AB & BC
     

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