MATH 150 - CALCULUS II - FALL 2023

COMMON MIDTERMS/FINAL INSTRUCTIONS

It is crucial that your read in detail these instructions.
It is your responsibility to understand them and to abide by them.
If you have any questions or concerns please talk to your instructor.

Dates:
Wed, Sep. 20: Midterm#1, 7:00-9:00pm
Wed, Oct. 18: Midterm#2, 7:00-9:00pm
Wed, Nov. 15: Midterm#3, 7:00-9:00pm
Sun, Dec. 17: FINAL, 12:00-2:00pm

Rooms:
Your room is assigned using your LAST NAME as follows. Find the interval where your last name belongs and read your room from table:
You must go to your assigned room (you will not be given the test otherwise).

FINAL: Note that time and room assignments are different than midterms!!!
Last Name, 1st letter ROOM #
  A--F SHW-012
  G--N ENS-280
  O--Z AL-201
* NO make-ups.
* NO alternative test slot without previous arrangement.
* Conflict with other classes: contact coordinator at least ONE week in advance.

Rules:

  • You need to arrive early so that we can check your redID and give you your assigned seating location.
  • You must memorize your instructor (and TA) name and the section that you are registered in.
  • You must bring your redID.
  • You are only required to bring pen and/or pencil and eraser.
  • No calculators, cheat-sheets or aids of any kind allowed.
  • You will leave your bag at the front of the room.
  • There will be no restroom breaks. Please go to the restroom before the test starts. If you go to the restroom during the test you'll forfeit the remaining time. If you need special accommodations for this you need to bring a written letter from Student Disability Services (SDS).
  • Be sure that you know in advance the location of your assigned room!
  • You will only be given the test in the room allocated to your last name's initial (as per the table above). It is your responsibility to show up to the right room.

Rescheduling:*
If you have a SDSU class at the same time as the test: we will provide an alternative slot so that you can take the test. However, you need to arrange this in advance with your instructor. If you fail to arrange this in advance (10 days) you will not be given an alternative slot and you will get an F for the test if you do not take it.

Cheating:
There will be absolute zero tolerance towards cheating (please see more details in the official syllabus). All work that you complete in this class should be your own and only your own. Any (yes any) form of cheating will automatically result in an F for the whole course and direct disciplinary action with the Center for Students Rights and Responsibilities (which may include punitive sanctions such as probation, suspension, or even, expulsion).

  • Note that helping a fellow student during an exam is cheating (both students involved will be given an F, so do not let others copy from your test!).
  • Using any electronic device is cheating. Please leave all electronics in your bag far away from your reach. Any electronic device (including phones, smart watches, earphones, google glasses, tablets, etc.) in sight will be considered as cheating (even if it is not turned on!)
  • If others cheat you are at a disadvantage; thus, if you see any form of cheating, please report it to the instructor as soon as you feel comfortable in doing so.

Topics to be included in MIDTERM#1:

  • Appendices/Review
    • A: Numbers, Inequalities and Absolute Values
    • B: Coordinate Geometry and Lines
    • C: Graphs of Second-Degree Equations
    • D: Trigonometry

  • Chap 1: Functions and Models
    • 1.1 Four Ways to Represent a Function
    • 1.2 Mathematical Models: A Catalog of Essential Functions
    • 1.3 New Functions from Old Functions
    • 1.4 Exponential Functions
    • 1.5 Inverse Functions and Logarithms

  • Chap 2: Limits and Derivatives
    • 2.1 The Tangent and Velocity Problems
    • 2.2 The Limit of a Function
    • 2.3 Calculating Limits Using the Limit Laws
    • 2.4 The Precise Definition of a Limit [NOT included]
    • 2.5 Continuity
    • 2.6 Limits at Infinity
    • 2.7 Derivatives and Rates of Change (definition of derivative using limit)

  • Tips / notes / things to know for MT#1:
    • There will be NO cheat-sheet distributed with this test. If you need a complicated formula (cf. half/double angle formulas, formulas connecting trig functions, etc), it will be included in the test. No need to memorize any of these formulas.
    • Make sure you study the HWs, Worksheets and Labs that we covered.
    • Must know how to use the Squeeze (Sandwich) Theorem.
    • Must know how to apply use the limit definition of the derivative.
    • Must know how to find vertical/horizontal asymptotes.
    • Must know how to compose functions; must know how to invert functions.
    • Must know how to manipulate variables. Namely, if a constant is given by a symbol (like a or b) just treat it as a constant the same way you treat π as constant.
    • Must know how to determine the domain and range of a function.
    • Must know how to graph linear (lines) and quadratic (parabolas) equations.
    • Must know how to find equation of a line (point-slope, point-point, etc.)

Topics to be included in MIDTERM#2:

  • All material from MT#1 (including the Tips / notes / things to know for MT#1; see above)

  • Chap 2: Limits and Derivatives
    • 2.7 Derivatives and Rates of Change (being able to determine if a function is differentiable)
    • 2.8 The Derivative as a Function

  • Chap 3: Differentiation Rules
    • 3.1 Derivatives of Polynomials and Exponential Functions
    • 3.2 The Product and Quotient Rules
    • 3.3 Derivatives of Trigonometric Functions
    • 3.4 The Chain Rule
    • 3.5 Implicit Differentiation
    • 3.6 Derivatives of Logarithmic Functions
    • 3.7 Rates of Change in the Natural and Social Sciences
    • 3.8: Exponential Growth and Decay
    • 3.9 Related Rates

  • Tips / notes / things to know for MT#2:
    • You need to know the Tips / notes / things to know for MT#1 (see above).
    • Make sure you study the HWs, Worksheets and Labs that we covered.
    • There will be NO cheat-sheet distributed with this test. If you need a complicated formula (cf. half/double angle formulas, formulas connecting trig functions, etc), it will be included in the test. No need to memorize any of these formulas.
    • Must know how to find a tangent line using the derivative.
    • Must know the derivatives of sin and cos. The derivatives for other trigonometric and inverse trigonometric functions will be given.
    • Must know derivatives of exponential (ex: ex), and logarithms (ex: ln(x) and loga(x)).
    • Know how to apply logarithmic differentiation.
    • Know how to apply implicit differentiation.
    • Know how to find derivative using the definition with the limit.
    • Must know product, quotient, and chain rules.
    • Must know how to solve related rates problems.
    • Must know how to solve exponential growth/decay problems (half life, doubling time).
    • Review sheets created by TAs: Review version#1, Review version#2, Review version#3, Review version#4, Review version#5,.

Topics to be included in MIDTERM#3:

  • All material from MT#1 and MT#2 (including the Tips / notes / things to know for MT#1 & MT#2; see above)

  • Chap 3: Differentiation Rules
    • 3.10 Linear Approximations and Differentials

  • Chap 4: Applications of Differentiation
    • 4.1 Maximum and Minimum Values
    • 4.2 The Mean Value Theorem
    • 4.3 How Derivatives Affect the Shape of a Graph
    • 4.4 Indeterminate Forms and L'Hospital Rule
    • 4.5 Summary of Curve Sketching
    • 4.6 Graphing with Calculus and Calculators
    • 4.7 Optimization Problems
    • 4.8 Newton's Method
    • 4.9 Antiderivatives

  • Tips / notes / things to know for MT#3:
    • You need to know the Tips / notes / things to know for MT#1 and MT#2 (see above).
    • Make sure you study the HWs, Worksheets and Labs that we covered.
    • There will be NO cheat-sheet distributed with this test. If you need a complicated formula (cf. half/double angle formulas, formulas connecting trig functions, etc), it will be included in the test. No need to memorize any of these formulas.
    • Find a tangent line using the derivative.
    • Apply point-slope formula to obtain equation of a line.
    • Antiderivatives of basic functions (polynomial, exponential, trigonometric, logarithm).
    • Apply L'Hospital Rule and find limits for indeterminate cases.
    • Apply logarithms for logarithmic differentiation and L'Hospital Rule.
    • Graph a function using derivative, second derivative, increasing, decreasing, concavity.
    • Find minima and maxima using derivatives and second derivatives.
    • Solve optimization problems.
    • Use calculus to estimate values of functions (like ln(1.01)=?)
    • Find slant/oblique asymptotes.
    • Write distance between two points given their coordinates.
    • Review sheet created by TAs: Review.

Topics to be included in FINAL:

  • All material from MT#1, MT#2, and MT#3 (including the Tips / notes / things to know for MT#1, MT#2, & MT#3; see above)

  • Chap 5: Integrals
    • 5.1 Areas and Distances
    • 5.2 The Definite Integral
    • 5.3 The Fundamental Theorem of Calculus
    • 5.4 Indefinite Integrals and the Total Change Theorem
    • 5.5 The Substitution Rule

  • Tips / notes / things to know for FINAL:
    • You need to know the Tips / notes / things to know for MT#1. MT#2, and MT#2 (see above).
    • Make sure you study the HWs, Worksheets and Labs that we covered.
    • There will be NO cheat-sheet distributed with this test. If you need a complicated formula (cf. half/double angle formulas, formulas connecting trig functions, etc), it will be included in the test. No need to memorize any of these formulas.
    • Review sheet created by TAs: Review.