Math 161 : Exams

 
    Midterm 1  
  •   Tuesday, September 26 in class (50min)
  •   No electronic devices are permitted.
  •   A cheat sheet will be provided but otherwise the test is closed book
  •   By far the bulk of the exam will cover:
    • (2.4) Limits
    • (2.5) One sided-limits and Continuity - some like hw 2.5#15-20
    • (2.6) Derivative - but not computing f'(x) from limit definition
    • (2.6) Equations of tangent lines y-f(x0) = f '(x0) (x-x0)
    • (3.1) Basic Rules of Differentiation
    • (3.2) Product and Quotient Rules
    • (3.3) Chain Rule
    • (3.5) Higher order derivatives
    • (3.6) Implicit differentiation only   (no related rate problems)
  • Note the absence of questions from chapter 1 and sections 2.1-2.3, 3.4
  • If you show no work whatsoever you won't receive full credit. Also, you must use correct limit notation when answering limit questions (ask your instructor for an example of this)
  • Make sure you put your name on every page of the exam (bottom of page mostly)
   

Midterm 2

  
  •   Tuesday, October 24 in class (50min)
  •   No electronic devices are permitted.
  •   A cheat sheet  will be provided but otherwise the test is closed book
  •   By far the bulk of the exam will cover:
    • (4.1) First Derivative f'(x) applications
    • (4.2) Second Derivative f''(x) applications
    • (4.3) You won't be required to sketch f(x) but will be required to know when f(x) is               increasing/decreasing , concave up/down, has a relative max/min occur and/or has asymptotes.
    • (4.4)/(4.5)) Optimization - The exam will only have simple problems of these types.
    • (5.1) Exponential Functions - there will be NO HW_5.1 type homework problems on the Midterm
    • (5.2) Logarithmic Functions -there will be NO HW_5.2 type homework problems on the Midterm
    • (5.3) Not part of the course
    • (5.4) Derivatives involving ex
    • (5.5) Derivatives involving ln(x)  AND logarithmic differentiation
  •   Some basic facts you need to know:
    • f'(x) > 0 implies f(x) increasing /  f'(x) < 0 implies f(x) decreasing
    • f'(x) = 0 critical point/ horizontal slope
    • f''(x) > 0 implies f(x) concave up  /  f''(x)<0 implies f(x) concave down
    • f''(x) = 0 inflection point
    • First Derivative test for relative min/max (or neither)
    • Second derivative test for relative min/max
    • Derivatives of ex and ln(x)
  • If you show no work whatsoever you won't receive full credit.
  • Make sure you put your name on every page of the exam (bottom of page mostly)
   

 

    
    Final  
  • Thursday, December 14,  12:00-1:50pm
  • Location depends on the section number of your class. See the main m161 website
  • The exam is NOT comprehensive. It will ONLY cover material from chapters 6 and 8 of the text
  • You should be able to complete the exam in 60min but will have the entire 1hr 50min to complete it.
  • No electronic devices are permitted.
  • A cheat sheet will be provided but otherwise the test is closed book
  • Sections of the textbook the exam will cover: Only chapters 6 and 8
    • (6.1) Antiderivatives and basic rules of integration
    • (6.2) Integration via substitution
    • (6.3) Area and the definite integral
    • (6.4) Fundamental Theorem of Calculus
    • (6.5) Evaluating Definite Integrals
    • (6.6) Area between curves
    • (8.1) Functions of several variables -- there won't be a question from this section
    • (8.2) Partial Derivatives
    • (8.3) Maxima and Minima of functions of several variables
  • Things you need to know
    1. Much of the test requires you know how to integrate a variety of functions such as powers xn, polynomials, x-1, ex and many more. More complicated integrals may require a u-substitution . There will be several questions on the exam where you'll be asked to compute an indefinite or definite integral. (about 65% of exam)
    2. There WILL be a question on each the following integral applications ( about 30% of exam)
      1. Area between curves
      2. Initial value problems
      3. Average value of a function on an interval
    3. There will be a low value True/False question. It will test some very basic concepts: do you know what the Fundamental Theorem of Calculus is, what an antiderivative is,...(about 10% of exam)
    4. Chapter 8 material accounts for 30% of the exam. What you need to know:
      1. Compute the first and second partial derivatives of a simple function f(x,y) at a point (a,b)
      2. Find critical points by solving fx(x,y)=0 , fy(x,y)=0 simultaneoulsy. At these points f(x,y) may have a relative min, relative max, a saddle or something else.
      3. Use the Second derivative test to classify the critical point type, i.e., relative min, relative max, or saddle. The Second Derivative Test will be in the list of formulae included with the exam.