Western Governors University

D795: Applied Algorithms and Reasoning

A guide to WGU's D795, the graduate course on designing, analyzing and benchmarking algorithms with Big O reasoning and profiling.

Updated October 2026 · 5 min read

D795 is a graduate computer science course in WGU's Master of Science programs.

WGU describes it as building on algorithm design and optimization for efficient resource use, with an emphasis on benchmarking, reasoning and Big O notation, and practical work that tests data structures, develops algorithmic solutions and optimizes performance.

The difficulty is joining theory to measurement. A student can state that an approach is O(n log n) but must also show how it behaves on real inputs with profiling and benchmarking tools. The guide lists three competency units.

Course at a Glance

ItemDetails
UniversityWestern Governors University (WGU)
Course codeD795
LevelGraduate (3 competency units in the guide)
ProgramsM.S. Computer Science: AI and Machine Learning, and Human-Computer Interaction
Subject areaAlgorithm design, analysis and optimization
Typical workImplementation, analysis and benchmark report

What D795 Covers

Competency (summarized)What it means in practice
Design algorithms to optimize performance and resource useChoose approaches and data structures suited to the task
Implement diverse algorithmic techniquesApply techniques such as divide and conquer, dynamic programming or greedy methods
Optimize performance through analysis and implementation changesFind hot spots, improve them and measure again

Key Concepts Explained

Big O and What It Hides

Big O describes how running time or memory grows with input size, ignoring constants. It is the right tool for comparing approaches at scale, but constants and memory behavior can dominate on small or medium inputs, which is why measurement matters.

Example: Searching a sorted list of a million items takes about 20 comparisons with binary search (O(log n)) versus up to a million with a linear scan (O(n)). On a list of ten items, the difference is too small to matter.

Benchmarking Method

A fair benchmark uses the same inputs for each candidate, several input sizes, repeated runs and a stated environment. Results are reported as a table or chart so growth can be seen.

Example: Run each sort on arrays of 1,000, 10,000 and 100,000 elements, each several times, and plot time against size. If time per tenfold increase is roughly ten times, growth is near linear; roughly a hundred times suggests quadratic behavior.

Profiling and Optimization

Profilers show where time is spent. Optimize the hottest part first, change one thing at a time, and confirm correctness after each change. A faster algorithm that returns wrong answers is a failure.

Typical Assignments and How to Approach Them

Task elementWhat it testsHow to approach it
Algorithm designMatching technique to problemState the problem, candidate approaches and the reason for your choice
Complexity analysisBig O reasoningDerive time and space cost with the key steps shown
BenchmarkEmpirical evidenceDescribe method, show data and compare with predicted growth
Optimization write-upEvidence-based improvementShow profile, change, new profile and correctness check

Linking Theory to Measurement

The strongest D795 write-ups close the loop between prediction and result. Predict the growth first, measure second and then explain any difference.

StepWhat to write
Predict"I expect O(n log n) growth because..."
MeasureTable of times for several sizes and repeats
CompareDoes growth match the prediction?
Explain gapsCaching, constants, input shape or system noise
ImproveOne targeted change and a new measurement

Readiness Checklist Before You Submit

A benchmark report is easy to weaken by leaving out small details, so check these.

CheckWhat to confirm
Problem definedInput, output and constraints are stated
Complexity derivedTime and space cost are justified, not just asserted
Benchmark fairSame inputs, several sizes, repeated runs, environment stated
Prediction comparedMeasured growth is compared with the Big O expectation
Correctness retestedResults are confirmed after each optimization

Where Students Get Stuck

Study Tips for D795

How We Help with D795

Send the task, any starter code, the rubric and your draft. A writer with a computer science background can prepare a custom worked analysis for study, explain complexity reasoning, or review your benchmark method and write-up. See our master's assignment help guide for how orders work.

GradeEssays is independent of Western Governors University. Model work is for study and reference; what you submit must be your own under WGU's academic integrity policy, and no outcome is promised. Orders are written from scratch with free revisions within the scope of your original request, and a full refund if late.

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Frequently Asked Questions

Which programs include D795?

WGU's guides list it in the M.S. Computer Science plans for AI and Machine Learning, and Human-Computer Interaction.

How many competency units is D795?

Three, according to the guides.

Do I need to code in D795?

The description includes implementing and testing algorithms; your task instructions state the language and deliverables.

What is Big O notation?

A way to describe how an algorithm's cost grows as the input grows, ignoring constant factors.

Why benchmark if I know the complexity?

Real systems include constants, memory effects and input patterns that theory alone does not capture.

How does D795 differ from C950?

C950 is the undergraduate data structures and algorithms course; D795 stresses benchmarking, profiling and optimization at graduate level.