WIND 1310
Analytical Methods in Wind Energy

Western Texas College

  1. Course Information
    1. Course Description:  Covers the fundamentals of wind mathematical modeling in one to three dimensions  with applications to wind recourse forecasting and wind data analyzation.
    2. Prerequisites:  No class prerequisites exist except to be able to read and write on the college level. This class is math intensive. 
    3. Required grade for enrolling in the next course in this sequence: Students must receive a letter grade of a C to be able to enroll in WIND 1311 and WIND 2310.
  2. Student Learning Outcomes:
    1. Students will gain knowledge of vectors with applications to wind modeling.
    2. Students will develop solutions for wind energy problems using derivatives and integrals.
    3. Identify appropriate calculus concepts for mathematical models of wind energy and determine solutions for applied problems.
    4. Students will evaluate definite integrals using the Fundamental Theorem of Calculus and Taylor series for time series analysis.
  3. Testing Requirements
    1. Campus/Online
      1. The Final exam must be proctored by your professor or an approved testing organization.  (Ask you instructor for more details.)
      2. Students are allowed to use their book and notes while taking their quizzes, Mid-term and Final exam.
      3. Students are allowed to use a calculator on quizzes, Mid-term, and Final exam that are TI-84 and lower.
      4. All quizzes, Mid-terms and Final exams are timed.
  4. Course Requirements
    1. Campus/Online
      1. There will be a mid-term exam.
      2. There will be a comprehensive final exam.
  5. Information on Books and Other Course Materials
    1. Required Book:  Dr. Arquimedes Ruiz-Columbie, The Essentials of Mathematical Analysis an Analytical Modeling, Texas Tech University, First Edition. 2016
    2. Reference Book:Strauss, Bradley and Smith,  Calculus, Third Edition,  Prentice Hall
    3. Calculators: Students will need a calculator that is capable of performing log calculations.
  6. Grading Breakdown:
    1. Campus /Online







      Final exam


  7. Other Policies, Procedures and important dates. Please refer to the WTC Catalog for the following
    1. Campus Calendar
    2. Final exam schedule
    3. How to drop a class
    4. Withdrawal information
    5. Student Conduct/Academic Integrity - Students will come to class prepared to participate in the learning process and that part of this preparation will include the demonstration of mature and purposeful behavior. The College Code of Conduct and College Academic Integrity Policies will be followed with no exceptions.
    6. Students with disabilities - As perOP 34.22, any student who, because of a disability, may require special arrangements in order to meet the course requirements should contact the instructor as soon as possible to make any necessary arrangements.  Students should present appropriate verification from Student Disability Services during the instructor’s office hours.  Please note instructors are not allowed to provide classroom accommodations to a student until appropriate verification from Student Disability Services has been provided. 
  8. Course Content

Wind as a Vector

Zonal Components of Wind

One-dimension Wind Models

Analytical Representations of Wind Vector Field

Functions and their Domain

Limit of Infinite Sequences

Limit of Real Functions


Formal Definition of a Derivative

Derivatives of Elementary Functions  

Chain Rule

Implicit Derivation           

Related Rate Problems

Taylor Series

Extreme Values

Mean Value Theorems

Optimization Problems


Integration by substitution

Integration by parts

Integration by trig functions

Partial Fraction Method

The Definite Integral

Partial Derivatives

Differential Calculus

Two-Variable Real Function

Multiple Integrals



Last Modified: August 25, 2017